메뉴 건너뛰기




Volumn , Issue 763, 2002, Pages

Segre's reflexivity and an inductive characterization of hyperquadrics

Author keywords

Deformation of vector bundles; Distribution of cycles; Generalized Lefschetz principle; Grassmannian variety; Intersection theory; Kuranishi space; Secant degeneracy; Segre's reflexivity; Severi variety; Universal bundle; Universal pseudo quotient

Indexed keywords


EID: 85088720305     PISSN: 00659266     EISSN: None     Source Type: Journal    
DOI: 10.1090/memo/0763     Document Type: Article
Times cited : (19)

References (154)
  • 1
    • 0012091068 scopus 로고
    • Varieties with an extremal number of degenerate higher secant varieties
    • Ad
    • [Ad] B. Ådlandsvik, Varieties with an extremal number of degenerate higher secant varieties, J. Reine Angew. Math. 392 (1988), 16-26.
    • (1988) J. Reine Angew. Math. , vol.392 , pp. 16-26
    • Ådlandsvik, B.1
  • 3
    • 0000957375 scopus 로고
    • Two theorems on elementary contractions
    • ABW
    • [ABW] M. Andreatta-E. Ballico-J. Wiśniewski, Two theorems on elementary contractions, Math. Ann. 297 (1993), 191-198.
    • (1993) Math. Ann. , vol.297 , pp. 191-198
    • Andreatta, M.1    Ballico, E.2    Wiśniewski, J.3
  • 4
    • 0033481563 scopus 로고    scopus 로고
    • Projections from Grassmannians of lines and characterization of Veronese varieties
    • Arr
    • [Arr] E. Arrondo, Projections from Grassmannians of lines and characterization of Veronese varieties, J. Alg. Geom. 8 (1999), 85-101.
    • (1999) J. Alg. Geom. , vol.8 , pp. 85-101
    • Arrondo, E.1
  • 5
  • 6
    • 84972537194 scopus 로고
    • On ample divisors
    • Bad1
    • [Bad1] L. Badescu, On ample divisors, Nagoya. Math. J. 86 (1982), 155-171.
    • (1982) Nagoya. Math. J. , vol.86 , pp. 155-171
    • Badescu, L.1
  • 7
    • 84971804727 scopus 로고
    • On a criterion for hyperplane sections
    • Bad2
    • [Bad2] L. Badescu, On a criterion for hyperplane sections, Math. Proc. Cam. Phil. Soc. 103 (1988), 59-67.
    • (1988) Math. Proc. Cam. Phil. Soc. , vol.103 , pp. 59-67
    • Badescu, L.1
  • 8
    • 0012091071 scopus 로고
    • On a result of Zak-L'vovsky
    • Bad3, Projective Geometry with Applications, E. Ballico, ed., Marcel Dekker, New York
    • [Bad3] L. Badescu On a result of Zak-L'vovsky, in Projective Geometry with Applications, Lect. Notes in Pure and Applied Math., vol. 166 (E. Ballico, ed.), Marcel Dekker, New York, 1994, pp. 57-73.
    • (1994) Lect. Notes in Pure and Applied Math. , vol.166 , pp. 57-73
    • Badescu, L.1
  • 9
    • 0012026369 scopus 로고
    • Three problems on an exceptional domain
    • Bai1, Aspects of Mathematics, "Algebraic Geometry and its applications", Yaroslavl' (A. Tikhomirov, A. Tjurin, ed.), A publication from Steklov Institute of Mathematics Viehweg
    • [Bai1] W.-L. Baily, Three problems on an exceptional domain, in Aspects of Mathematics, "Algebraic Geometry and its applications", Proceedings of the 8-th Algebraic Geometry Conference, Yaroslavl' (A. Tikhomirov, A. Tjurin, ed.), A publication from Steklov Institute of Mathematics Viehweg, 1992, pp. 1-7.
    • (1992) Proceedings of the 8-th Algebraic Geometry Conference , pp. 1-7
    • Baily, W.-L.1
  • 10
    • 0012026370 scopus 로고    scopus 로고
    • A problem on an exceptional domain
    • [Bai2] Arslanov, Parshin, Shafarevich, ed., Walter de Gruyter
    • [Bai2] W.-L. Baily, A problem on an exceptional domain, in Algebra and Analysis (Arslanov, Parshin, Shafarevich, ed.), Walter de Gruyter, 1996, pp. 23-29.
    • (1996) Algebra and Analysis , pp. 23-29
    • Baily, W.-L.1
  • 12
    • 0003379591 scopus 로고
    • Submanifolds of low codimension in projective space
    • Bar
    • [Bar] W. Barth, Submanifolds of low codimension in projective space, in Proc. ICM Vancouver, 1975, pp. 409-413.
    • (1975) Proc. ICM Vancouver , pp. 409-413
    • Barth, W.1
  • 13
    • 0012055935 scopus 로고
    • Larsen's theorem on the homotopy group of projective manifolds of small embebdding codimension
    • Bar2
    • [Bar2] W. Barth, Larsen's theorem on the homotopy group of projective manifolds of small embebdding codimension, in Proc. Symp. in Pure Math., vol. 35, 1975, pp. 307-313.
    • (1975) Proc. Symp. in Pure Math. , vol.35 , pp. 307-313
    • Barth, W.1
  • 14
    • 0012026707 scopus 로고
    • A decomposability criterion for algebraic 2-bundles on projective spaces
    • BaV1
    • [BaV1] W. Barth-A. Van de Ven, A decomposability criterion for algebraic 2-bundles on projective spaces, Invent. Math. 25 (1974), 91-106.
    • (1974) Invent. Math. , vol.25 , pp. 91-106
    • Barth, W.1    Van de Ven, A.2
  • 15
    • 0009895273 scopus 로고
    • On the geometry in codimension 2 of Grassman manifolds
    • BaV2, Springer
    • [BaV2] W. Barth-A. Van de Ven, On the geometry in codimension 2 of Grassman manifolds, in Lect. Notes in Math., vol. 412, Springer, 1974.
    • (1974) Lect. Notes in Math. , vol.412
    • Barth, W.1    Van de Ven, A.2
  • 16
    • 0003194506 scopus 로고
    • The adjunction theory of complex projective manifolds
    • BS, Walter de Gruyter, Berlin-New York
    • [BS] M. Beltrametti-A. Sommese, The adjunction theory of complex projective manifolds, De Gruyter Expositions in Math., vol. 16, Walter de Gruyter, Berlin-New York, 1995.
    • (1995) De Gruyter Expositions in Math. , vol.16
    • Beltrametti, M.1    Sommese, A.2
  • 17
    • 0003028520 scopus 로고
    • Results on varieties with many lines and their applications to adjunction theory
    • BSW, Complex and Algebraic Varieties, Bayreuth, Springer
    • [BSW] M. Beltrametti-A. Sommese-J. Wiśniewski, Results on varieties with many lines and their applications to adjunction theory, in Complex and Algebraic Varieties, Bayreuth 1990, Lect. Notes in Math., vol. 1507, Springer, 1992, pp. 16-38.
    • (1990) Lect. Notes in Math. , vol.1507 , pp. 16-38
    • Beltrametti, M.1    Sommese, A.2    Wiśniewski, J.3
  • 18
    • 0000073522 scopus 로고
    • The positivity of the Chern classes of an ample vector bundle
    • BlG
    • [BlG] S. Bloch-D. Gieseker, The positivity of the Chern classes of an ample vector bundle, Invent. Math. 12 (1971), 112-117.
    • (1971) Invent. Math. , vol.12 , pp. 112-117
    • Bloch, S.1    Gieseker, D.2
  • 19
    • 0001514659 scopus 로고
    • Coréduction algébrique d'un espace analytique faiblement kählérien compact
    • Ca0
    • [Ca0] F. Campana, Coréduction algébrique d'un espace analytique faiblement Kählérien compact, Invent. Math. 63 (1981), 187-223.
    • (1981) Invent. Math. , vol.63 , pp. 187-223
    • Campana, F.1
  • 20
    • 0000978360 scopus 로고
    • Connexité rationnelle des variété de Fano
    • Ca1
    • [Ca1] F. Campana, Connexité rationnelle des variété de Fano, Ann. Sci. Éc. Norm. Sup. 25 (1992), 539-545.
    • (1992) Ann. Sci. Éc. Norm. Sup. , vol.25 , pp. 539-545
    • Campana, F.1
  • 21
    • 0001206966 scopus 로고
    • Une version géométrique généralisée du théorème du produit de Nadel
    • Ca2
    • [Ca2] F. Campana, Une version géométrique généralisée du théorème du produit de Nadel, Bull. Soc. Math. France 119 (1991), 479-493.
    • (1991) Bull. Soc. Math. France , vol.119 , pp. 479-493
    • Campana, F.1
  • 22
    • 0001520078 scopus 로고
    • Projective manifolds whose tangent bundles are numerically effective
    • CAP1
    • [CAP1] F. Campana-T. Peternell, Projective manifolds whose tangent bundles are numerically effective, Math. Ann. 289 (1991), 169-187.
    • (1991) Math. Ann. , vol.289 , pp. 169-187
    • Campana, F.1    Peternell, T.2
  • 23
    • 0000235336 scopus 로고
    • On the second exterior power of tangent bundles of threefolds
    • CAP2
    • [CAP2] F. Campana-T. Peternell, On the second exterior power of tangent bundles of threefolds, Compositio Math. 83 (1992), 329-346.
    • (1992) Compositio Math. , vol.83 , pp. 329-346
    • Campana, F.1    Peternell, T.2
  • 25
    • 51249164371 scopus 로고
    • Smooth projective varieties dominated by smooth quadric hypersurfaces in any characteristic
    • ChS1
    • [ChS1] K. Cho-E. Sato, Smooth projective varieties dominated by smooth quadric hypersurfaces in any characteristic, Math. Z. 217 (1994), 553-565.
    • (1994) Math. Z. , vol.217 , pp. 553-565
    • Cho, K.1    Sato, E.2
  • 27
    • 0012090579 scopus 로고
    • Algebraic varieties of dimension three whose hyperplane sections are Enriques surfaces
    • CoMu
    • [CoMu] A. Conte-J.-P. Murre, Algebraic varieties of dimension three whose hyperplane sections are Enriques surfaces, Annali Sc. Norm. Sup. Pisa 12 (1985), 43-80.
    • (1985) Annali Sc. Norm. Sup. Pisa , vol.12 , pp. 43-80
    • Conte, A.1    Murre, J.-P.2
  • 28
    • 0001666711 scopus 로고
    • Severi's theorem on the Veronese surface
    • Da
    • [Da] M. Dale, Severi's theorem on the Veronese Surface, J. London Math. Soc. 32 (1) (1985), 419-425.
    • (1985) J. London Math. Soc. , vol.32 , Issue.1 , pp. 419-425
    • Dale, M.1
  • 29
    • 0002874393 scopus 로고
    • Weighted projective varieties
    • Do, Group Actions and Vector Fields, Proceedings, Vancouver, J.B. Carrell, ed.
    • [Do] I. Dolgachev, Weighted projective varieties, in Group Actions and Vector Fields, Proceedings, Vancouver 1981, Lect. Notes in Math., vol. 956 (J.B. Carrell, ed.), pp. 34-71.
    • (1981) Lect. Notes in Math. , vol.956 , pp. 34-71
    • Dolgachev, I.1
  • 30
    • 0000571548 scopus 로고
    • Varieties with small dual varieties, II
    • E1
    • [E1] L. Ein, Varieties with small dual varieties, II, Duke Math. J. 52 (1985), 895-907.
    • (1985) Duke Math. J. , vol.52 , pp. 895-907
    • Ein, L.1
  • 31
    • 0002247842 scopus 로고
    • Varieties with small dual varieties, I
    • E2
    • [E2] L. Ein, Varieties with small dual varieties, I, Invent. Math. 86 (1986), 63-74.
    • (1986) Invent. Math. , vol.86 , pp. 63-74
    • Ein, L.1
  • 32
    • 0002013149 scopus 로고
    • On the superadditivity of secant defects
    • Fa
    • [Fa] B. Fantechi, On the superadditivity of secant defects, Bull. Soc. Math. France 118 (1990), 85-100.
    • (1990) Bull. Soc. Math. France , vol.118 , pp. 85-100
    • Fantechi, B.1
  • 33
    • 0012052914 scopus 로고
    • Babylonian tower theorems on the punctured spectrum
    • Fl
    • [Fl] H. Flenner, Babylonian tower theorems on the punctured spectrum, Math. Ann. 271 (1985), 153-160.
    • (1985) Math. Ann. , vol.271 , pp. 153-160
    • Flenner, H.1
  • 34
    • 22444456211 scopus 로고    scopus 로고
    • On smooth projective threefolds with non-trivial surjective endomorphisms
    • FS
    • [FS] Y. Fujimoto-E. Sato, On smooth projective threefolds with non-trivial surjective endomorphisms, Proc. Japan Acad. 74, Ser. A, No.10 (1998), 143-145.
    • (1998) Proc. Japan Acad. , vol.74 , Issue.10 SER. A , pp. 143-145
    • Fujimoto, Y.1    Sato, E.2
  • 35
    • 0002422585 scopus 로고
    • On the structure of polarized varieties with Δ-genera zero
    • Fu1
    • [Fu1] T. Fujita, On the structure of polarized varieties with Δ-genera zero, J. Fac. Sci. Univ. Tokyo 22 (1975), 103-115.
    • (1975) J. Fac. Sci. Univ. Tokyo , vol.22 , pp. 103-115
    • Fujita, T.1
  • 36
    • 84972494568 scopus 로고
    • On the structure of polarized manifolds with total deficiency one, I
    • Fu2
    • [Fu2] T. Fujita, On the structure of polarized manifolds with total deficiency one, I, J. Math. Soc. Japan 32, No.4 (1980), 709-775, ibid, II, J. Math. Soc. Japan 33, No.3 (1981), 953-976.
    • (1980) J. Math. Soc. Japan , vol.32 , Issue.4 , pp. 709-775
    • Fujita, T.1
  • 37
    • 84972525364 scopus 로고
    • On the structure of polarized manifolds with total deficiency one, II
    • [Fu2] T. Fujita, On the structure of polarized manifolds with total deficiency one, I, J. Math. Soc. Japan 32, No.4 (1980), 709-775, ibid, II, J. Math. Soc. Japan 33, No.3 (1981), 953-976.
    • (1981) J. Math. Soc. Japan , vol.33 , Issue.3 , pp. 953-976
  • 38
    • 84972580534 scopus 로고
    • On the hyperplane section principle of Lefschetz
    • Fu3
    • [Fu3] T. Fujita, On the hyperplane section principle of Lefschetz, J. Math. Soc. Japan 32 (1980), 153-159.
    • (1980) J. Math. Soc. Japan , vol.32 , pp. 153-159
    • Fujita, T.1
  • 39
    • 84972536391 scopus 로고
    • Vector bundles on ample divisors
    • Fu4
    • [Fu4] T. Fujita, Vector bundles on ample divisors, J. Math. Soc. Japan 33, No.3 (1981), 405-414.
    • (1981) J. Math. Soc. Japan , vol.33 , Issue.3 , pp. 405-414
    • Fujita, T.1
  • 40
    • 84972563130 scopus 로고
    • Theorems of Bertini type for certain types of polarized manifolds
    • Fu5
    • [Fu5] T. Fujita, Theorems of Bertini type for certain types of polarized manifolds, J. Math. Soc. Japan 34 (1982), 709-718.
    • (1982) J. Math. Soc. Japan , vol.34 , pp. 709-718
    • Fujita, T.1
  • 41
    • 0002591449 scopus 로고
    • Projective threefolds with small secant varieties
    • Fu6
    • [Fu6] T. Fujita, Projective threefolds with small secant varieties, Sci. Papers Coll. Gen. Edu. U. Tokyo 32 (1982), 33-46.
    • (1982) Sci. Papers Coll. Gen. Edu. U. Tokyo , vol.32 , pp. 33-46
    • Fujita, T.1
  • 42
    • 84972490995 scopus 로고
    • Impossibility criterion of being an ample divisor
    • Fu7
    • [Fu7] T. Fujita, Impossibility criterion of being an ample divisor, J. Math. Soc. Japan 34 (1982), 355-363.
    • (1982) J. Math. Soc. Japan , vol.34 , pp. 355-363
    • Fujita, T.1
  • 43
    • 84972491043 scopus 로고
    • Remarks on quasi-polarized varieties
    • Fu8
    • [Fu8] T. Fhjita, Remarks on quasi-polarized varieties, Nagoya Math. J. 115 (1989), 105-123.
    • (1989) Nagoya Math. J. , vol.115 , pp. 105-123
    • Fhjita, T.1
  • 44
    • 0000530716 scopus 로고
    • On polarized manifolds whose adjoint bundles are not semipositive
    • Fu9, Algebraic Geometry, Sendai 1985 (T. Oda, ed.), Kinokuniya, North-Holland
    • [Fu9] T. Fujita, On polarized manifolds whose adjoint bundles are not semipositive, in Adv. Stud. Pure Math. vol. 10, Algebraic Geometry, Sendai 1985 (T. Oda, ed.), Kinokuniya, North-Holland, 1987, pp. 167-178.
    • (1987) Adv. Stud. Pure Math. , vol.10 , pp. 167-178
    • Fujita, T.1
  • 45
    • 0003234914 scopus 로고
    • Classification theories of polarized varieties
    • Fu10, Cambridge University Press
    • [Fu10] T. Fujita, Classification theories of polarized varieties, London Mathematical Society Lecture Note Series, vol. 155, Cambridge University Press, 1990.
    • (1990) London Mathematical Society Lecture Note Series , vol.155
    • Fujita, T.1
  • 46
    • 0001194411 scopus 로고
    • Varieties with small secant varieties: Extremal case
    • FR
    • [FR] T. Fujita-J. Roberts, Varieties with small secant varieties: Extremal case, Amer. J. Math. 103 (1981), 953-976.
    • (1981) Amer. J. Math. , vol.103 , pp. 953-976
    • Fujita, T.1    Roberts, J.2
  • 47
    • 0003314349 scopus 로고
    • Intersection theory
    • Fu1, Springer-Verlag
    • [Fu1] W. Fulton, Intersection theory, Ergeb. Math. Grenzgb, 3 Folge, vol. 2, Springer-Verlag, 1983.
    • (1983) Ergeb. Math. Grenzgb, 3 Folge , vol.2
    • Fulton, W.1
  • 48
    • 0000899626 scopus 로고
    • A connectedness theorem for projective varieties, with applications to intersections and singularities of mappings
    • FH
    • [FH] W. Fulton-J. Hansen, A connectedness theorem for projective varieties, with applications to intersections and singularities of mappings, Ann. of Math. 110 (1979), 159-166.
    • (1979) Ann. of Math. , vol.110 , pp. 159-166
    • Fulton, W.1    Hansen, J.2
  • 49
    • 0002185271 scopus 로고
    • Connectivity and its applications in algebraic geometry
    • FuL, Algebraic Geometry Proceedings
    • [FuL] W. Fulton-R. Lazarsfeld, Connectivity and its applications in algebraic geometry, in Algebraic Geometry Proceedings, Lect. Notes in Math., vol. 862, 1981, pp. 26-92.
    • (1981) Lect. Notes in Math. , vol.862 , pp. 26-92
    • Fulton, W.1    Lazarsfeld, R.2
  • 52
    • 0001166617 scopus 로고
    • Algebraic geometry and local differential geometry
    • GH2
    • [GH2] P. Griffiths-J. Harris, Algebraic geometry and local differential geometry, Ann. Sci. Éc. Norm. Sup. (4) 12 (1979), 355-452.
    • (1979) Ann. Sci. Éc. Norm. Sup. (4) , vol.12 , pp. 355-452
    • Griffiths, P.1    Harris, J.2
  • 53
    • 0012026106 scopus 로고
    • 3)
    • Grs
    • 3), Math. Ann. 292 (1992), 127-147.
    • (1992) Math. Ann. , vol.292 , pp. 127-147
    • Gross, M.1
  • 54
    • 0000455623 scopus 로고
    • Sur la classification des fibers holomorphes sur la sphère de Riemann
    • Grt
    • [Grt] A. Grothendieck, Sur la classification des fibers holomorphes sur la sphère de Riemann, Amer. J. Math. 79 (1957), 121-138.
    • (1957) Amer. J. Math. , vol.79 , pp. 121-138
    • Grothendieck, A.1
  • 55
    • 0002538801 scopus 로고
    • A bound on the geometric genus of projective varieties
    • Harr
    • [Harr] J. Harris, A bound on the geometric genus of projective varieties, Ann. Sc. Norm. Sup. di Pisa (4) 8 (1981), 35-68.
    • (1981) Ann. Sc. Norm. Sup. di Pisa (4) , vol.8 , pp. 35-68
    • Harris, J.1
  • 56
    • 4244200261 scopus 로고
    • Hart1, Publ. Math. I. H. E. S.
    • [Hart1] R. Hartshorne, Ample vector bundles, vol. 22, Publ. Math. I. H. E. S., 1965.
    • (1965) Ample vector bundles , vol.22
    • Hartshorne, R.1
  • 57
    • 0003297244 scopus 로고
    • Ample subvarieties of algebraic varieties
    • Hart2, Springer-Verlag, Heidelberg
    • [Hart2] R. Hartshorne, Ample subvarieties of algebraic varieties, Lect. Notes in Math., vol. 156, Springer-Verlag, Heidelberg, 1970.
    • (1970) Lect. Notes in Math. , vol.156
    • Hartshorne, R.1
  • 58
    • 0003322387 scopus 로고
    • Algebraic geometry
    • Hart3, Springer-Verlag, Berlin, Heidelberg, New York
    • [Hart3] R. Hartshorne, Algebraic Geometry, Graduate. Text in Math., vol. 52, Springer-Verlag, Berlin, Heidelberg, New York, 1977.
    • (1977) Graduate. Text in Math. , vol.52
    • Hartshorne, R.1
  • 59
    • 84968466777 scopus 로고
    • Varieties of small codimension in projective space
    • Hart4
    • [Hart4] R. Hartshorne, Varieties of small codimension in projective space, Bull. Amer. Math. Soc. 80, no.6 (1974), 1017-1032.
    • (1974) Bull. Amer. Math. Soc. , vol.80 , Issue.6 , pp. 1017-1032
    • Hartshorne, R.1
  • 60
    • 0000565753 scopus 로고
    • Algebraic vector bundles on projective spaces: A problem list
    • Hart5
    • [Hart5] R. Hartshorne, Algebraic vector bundles on projective spaces: a problem list, Topology 18 (1979), 117-128.
    • (1979) Topology , vol.18 , pp. 117-128
    • Hartshorne, R.1
  • 61
    • 84972488048 scopus 로고
    • Formal functions and formal embeddings
    • HiMa
    • [HiMa] H. Hironaka-H. Matsumura, Formal functions and formal embeddings, J. Math. Soc. Japan 20 (1968), 52-82.
    • (1968) J. Math. Soc. Japan , vol.20 , pp. 52-82
    • Hironaka, H.1    Matsumura, H.2
  • 63
    • 0000678238 scopus 로고
    • A classification of spinors up to dimension twelve
    • Ig
    • [Ig] J.-I. Igusa, A classification of spinors up to dimension twelve, Amer. J. Math. 92 (1970), 997-1027.
    • (1970) Amer. J. Math. , vol.92 , pp. 997-1027
    • Igusa, J.-I.1
  • 64
    • 84974307806 scopus 로고
    • Generalized adjunction and applications
    • Io
    • [Io] P. Ionescu, Generalized adjunction and applications, Math. Proc. Camb. Phil. Soc. 99 (1986), 457-472.
    • (1986) Math. Proc. Camb. Phil. Soc. , vol.99 , pp. 457-472
    • Ionescu, P.1
  • 65
    • 31944437305 scopus 로고
    • Fano 3-folds, I
    • Is
    • [Is] V.A. Iskovskikh, Fano 3-folds, I, Math. USSR. Izv. 11 (1977), 485-527, ibid, II, Math. USSR. Izv. 12 (1978), 469-506.
    • (1977) Math. USSR. Izv. , vol.11 , pp. 485-527
    • Iskovskikh, V.A.1
  • 66
    • 31944449398 scopus 로고
    • Fano 3-folds, II
    • [Is] V.A. Iskovskikh, Fano 3-folds, I, Math. USSR. Izv. 11 (1977), 485-527, ibid, II, Math. USSR. Izv. 12 (1978), 469-506.
    • (1978) Math. USSR. Izv. , vol.12 , pp. 469-506
  • 67
    • 0012080211 scopus 로고
    • Biregular theory of Fano 3-folds
    • IS, Proceedings of Summer Meeting at Copenhagen, K. Lønsted, ed.
    • [IS] V.A. Iskovskikh-V.V. Shokurov, Biregular theory of Fano 3-folds, in Proceedings of Summer Meeting at Copenhagen, Lect. Notes in Math., vol. 732 (K. Lønsted, ed.), 1979, pp, 171-182.
    • (1979) Lect. Notes in Math. , vol.732 , pp. 171-182
    • Iskovskikh, V.A.1    Shokurov, V.V.2
  • 68
    • 0012089744 scopus 로고    scopus 로고
    • Extremal contractions from 4-dimensional manifolds to 3-folds
    • Kac1
    • [Kac1] Y. Kachi, Extremal contractions from 4-dimensional manifolds to 3-folds, Annali della Sc. Norm. Sup. Pisa (4) 24, No. 1 (1997), 63-131.
    • (1997) Annali della Sc. Norm. Sup. Pisa (4) , vol.24 , Issue.1 , pp. 63-131
    • Kachi, Y.1
  • 69
    • 0012026375 scopus 로고    scopus 로고
    • Flips from 4-folds with isolated complete intersection singularities
    • Kac2
    • [Kac2] Y. Kachi, Flips from 4-folds with isolated complete intersection singularities, Amer. J. Math. 120 (1998), 43-102.
    • (1998) Amer. J. Math. , vol.120 , pp. 43-102
    • Kachi, Y.1
  • 72
    • 0001214222 scopus 로고    scopus 로고
    • Polarized varieties whose points are joined by rational curves of small degrees
    • KaS1
    • [KaS1] Y. Kachi-E. Sato, Polarized varieties whose points are joined by rational curves of small degrees, Illinois J. Math. 43, No. 2 (1999), 350-390.
    • (1999) Illinois J. Math. , vol.43 , Issue.2 , pp. 350-390
    • Kachi, Y.1    Sato, E.2
  • 73
    • 0012055941 scopus 로고    scopus 로고
    • Characterization of projective spaces and hyperquadrics
    • KaS2, in memory of Kurosh, Moscow de Gruyter, Berlin, To appear
    • [KaS2] Y. Kachi-E. Sato, Characterization of projective spaces and hyperquadrics, in Proceedings of Algebra conference, in memory of Kurosh, Moscow, 1998, de Gruyter, Berlin, (To appear).
    • (1998) Proceedings of Algebra conference
    • Kachi, Y.1    Sato, E.2
  • 74
    • 0012091081 scopus 로고
    • On the Gauss maps of space curves in characteristic p > 0
    • Kaj1
    • [Kaj1] H. Kaji, On the Gauss maps of space curves in characteristic p > 0, Compos. Math. 70 (1989), 177-197.
    • (1989) Compos. Math. , vol.70 , pp. 177-197
    • Kaji, H.1
  • 75
    • 22444456435 scopus 로고    scopus 로고
    • Homogeneous projective varieties with degenerate secants
    • Kaj2
    • [Kaj2] H. Kaji, Homogeneous projective varieties with degenerate secants, Trans. Amer. Math. Soc. 351, No. 2 (1999), 533-545.
    • (1999) Trans. Amer. Math. Soc. , vol.351 , Issue.2 , pp. 533-545
    • Kaji, H.1
  • 76
    • 0033614166 scopus 로고    scopus 로고
    • Adjoint varieties and their secant varieties
    • KOY, To appear
    • [KOY] H. Kaji-M. Ohno-O. Yasukura, Adjoint varieties and their secant varieties, Indag. Math. (To appear).
    • Indag. Math.
    • Kaji, H.1    Ohno, M.2    Yasukura, O.3
  • 77
    • 0002871838 scopus 로고
    • The cone of curves of algebraic varieties
    • Kaw1
    • [Kaw1] Y. Kawamata, The cone of curves of algebraic varieties, Ann. of Math. 119 (1984), 603-633.
    • (1984) Ann. of Math. , vol.119 , pp. 603-633
    • Kawamata, Y.1
  • 78
    • 0002548566 scopus 로고
    • On the length of an extremal rational curve
    • Kaw2
    • [Kaw2] Y. Kawamata, On the length of an extremal rational curve, Invent. math. 105 (1991), 609-611.
    • (1991) Invent. Math. , vol.105 , pp. 609-611
    • Kawamata, Y.1
  • 79
    • 0012058042 scopus 로고
    • Vanishing theorems for flag manifolds
    • Ke
    • [Ke] G.R. Kempf, Vanishing theorems for flag manifolds, Amer. J. Math. 98 (1976), 325-331.
    • (1976) Amer. J. Math. , vol.98 , pp. 325-331
    • Kempf, G.R.1
  • 80
    • 0000869116 scopus 로고
    • Concerning the dual variety
    • Kl1, Proc. 18th Scandinavian Congress Mathematicians, Aarhus, Birkhäuser, Boston
    • [Kl1] S. Kleiman, Concerning the dual variety, in Proc. 18th Scandinavian Congress Mathematicians, Aarhus, 1980, Prog. Math., vol. 11, Birkhäuser, Boston, 1981, pp. 386-396.
    • (1980) Prog. Math. , vol.11 , pp. 386-396
    • Kleiman, S.1
  • 81
    • 0000672576 scopus 로고
    • Tangeney and duality
    • Kl2, Proc. 1984 Vancouver Conference in Algebraic Geometry, Amer. Math. Soc. Providence, RI
    • [Kl2] S. Kleiman, Tangeney and duality, in Proc. 1984 Vancouver Conference in Algebraic Geometry, CMS Conf. Proc., vol. 6, Amer. Math. Soc. Providence, RI, 1986, pp. 163-225.
    • (1986) CMS Conf. Proc. , vol.6 , pp. 163-225
    • Kleiman, S.1
  • 82
    • 0002403297 scopus 로고
    • Characterization of the complex projective space and hyperquadrics
    • KoO
    • [KoO] S. Kobayashi-T. Ochiai, Characterization of the complex projective space and hyperquadrics, J. Math. Kyoto U. 13 (1972), 31-47.
    • (1972) J. Math. Kyoto U. , vol.13 , pp. 31-47
    • Kobayashi, S.1    Ochiai, T.2
  • 84
    • 0012052923 scopus 로고
    • Riemann-Roch type inequalities
    • KoMa
    • [KoMa] J. Kollár-T. Matsusaka, Riemann-Roch type inequalities, Amer. J. Math. 105 (1983), 229-252.
    • (1983) Amer. J. Math. , vol.105 , pp. 229-252
    • Kollár, J.1    Matsusaka, T.2
  • 85
    • 0002738117 scopus 로고
    • Rational curves on Fano varieties
    • KoMiMo1, Springer-Verlag
    • [KoMiMo1] J. Kollár-Y. Miyaoka-S. Mori, Rational curves on Fano varieties, in Lecture Notes in Math., vol. 1515, Springer-Verlag, 1992, pp. 100-105.
    • (1992) Lecture Notes in Math. , vol.1515 , pp. 100-105
    • Kollár, J.1    Miyaoka, Y.2    Mori, S.3
  • 86
    • 84972525221 scopus 로고
    • Rational connectedness and boundedness of Fano manifolds
    • KoMiMo2
    • [KoMiMo2] J. Kollár-Y. Miyaoka-S. Mori, Rational connectedness and boundedness of Fano manifolds, J. of Diff. Geom. 36 (1992), 765-779.
    • (1992) J. of Diff. Geom. , vol.36 , pp. 765-779
    • Kollár, J.1    Miyaoka, Y.2    Mori, S.3
  • 87
    • 0001490815 scopus 로고
    • Rationally connected varieties
    • KoMiMo3
    • [KoMiMo3] J. Kollár-Y. Miyaoka-S. Mori, Rationally connected varieties, J. of Alg. Geom. 1 (1992), 429-448.
    • (1992) J. of Alg. Geom. , vol.1 , pp. 429-448
    • Kollár, J.1    Miyaoka, Y.2    Mori, S.3
  • 88
    • 0012027291 scopus 로고
    • New proof for the existence of locally complete families of complex structure
    • Ku, Minneapolis, Springer-Verlag, Berlin-New York
    • [Ku] M. Kuranishi, New proof for the existence of locally complete families of complex structure, in Proc. Conf. Complex Analysis, Minneapolis 1964, Springer-Verlag, Berlin-New York, 1965, pp. 142-154.
    • (1964) Proc. Conf. Complex Analysis , pp. 142-154
    • Kuranishi, M.1
  • 90
    • 0002501537 scopus 로고    scopus 로고
    • Differential geometric characterizations of complete intersections
    • Lan2
    • [Lan2] J.M. Landsberg, Differential geometric characterizations of complete intersections, J. Diff. Geom. 44 (1996), 32-73.
    • (1996) J. Diff. Geom. , vol.44 , pp. 32-73
    • Landsberg, J.M.1
  • 92
    • 0001876888 scopus 로고
    • Some applications of the theory of positive vector bundles
    • Laz, Springer
    • [Laz] R. Lazarsfeld, Some applications of the theory of positive vector bundles, in Lect. Notes in Math., vol. 1092, Springer, 1984, pp. 30-61.
    • (1984) Lect. Notes in Math. , vol.1092 , pp. 30-61
    • Lazarsfeld, R.1
  • 93
    • 0003272142 scopus 로고
    • Topics in the geometry of projective space - Recent work of F.L. Zak
    • LV, Birkhäuser
    • [LV] R. Lazarsfeld-A. Van de Ven, Topics in the geometry of projective space - Recent work of F.L. Zak, DMV Seminar, vol. 4, Birkhäuser, 1984.
    • (1984) DMV Seminar , vol.4
    • Lazarsfeld, R.1    Van de Ven, A.2
  • 94
    • 0003164236 scopus 로고
    • Annulation de la cohomologie a valeurs dans un fibre vectoriel holomorphe positive de rang quelconque
    • LeP
    • [LeP] J. Lo-Potier, Annulation de la cohomologie a valeurs dans un fibre vectoriel holomorphe positive de rang quelconque, Math. Ann. 218 (1975), 35-53.
    • (1975) Math. Ann. , vol.218 , pp. 35-53
    • Lo-Potier, J.1
  • 95
    • 0012024919 scopus 로고
    • Riemann-Roch type inequalities for nef and big divisors
    • Lu1
    • [Lu1] T. Luo, Riemann-Roch type inequalities for nef and big divisors, Amer. J. Math. 111 (1989), 457-487.
    • (1989) Amer. J. Math. , vol.111 , pp. 457-487
    • Luo, T.1
  • 96
    • 51249177189 scopus 로고
    • A note on the Hodge Index Theorem
    • Lu2
    • [Lu2] T. Luo, A note on the Hodge Index Theorem, Manuscr. Math. 67 (1990), 17-20.
    • (1990) Manuscr. Math. , vol.67 , pp. 17-20
    • Luo, T.1
  • 97
    • 0012024920 scopus 로고
    • Criterion for the nonrepresentability of a variety as a hyperplane section
    • Lv1
    • [Lv1] S. L'vovsky, Criterion for the nonrepresentability of a variety as a hyperplane section, Moscow Univ. Math. Bull. 40 (1985).
    • (1985) Moscow Univ. Math. Bull. , vol.40
    • L'vovsky, S.1
  • 98
    • 0012027292 scopus 로고
    • On the extension of varieties defined by quadric equations
    • Lv2
    • [Lv2] S. L'vovsky, On the extension of varieties defined by quadric equations, Mat. U.S.S.R. Sbornik 63 (1989), 305-317.
    • (1989) Mat. U.S.S.R. Sbornik , vol.63 , pp. 305-317
    • L'vovsky, S.1
  • 99
    • 0002382292 scopus 로고
    • Numerical criterion for unirulesness
    • MiMo
    • [MiMo] Y. Miyaoka-S. Mori, Numerical criterion for unirulesness, Ann. of Math. 124 (1986), 65-69.
    • (1986) Ann. of Math. , vol.124 , pp. 65-69
    • Miyaoka, Y.1    Mori, S.2
  • 100
    • 0031542468 scopus 로고    scopus 로고
    • Vanishing theorems for ample vector bundles
    • Man
    • [Man] L. Manivel, Vanishing theorems for ample vector bundles, Invent. Math. 127 (1997), 410-416.
    • (1997) Invent. Math. , vol.127 , pp. 410-416
    • Manivel, L.1
  • 101
    • 0012089746 scopus 로고
    • Polarized varieties with a given Hilbert polynomial
    • Mat
    • [Mat] T. Matsusaka, Polarized varieties with a given Hilbert polynomial, Amer. J. Math. 94 (1972), 1027-1077.
    • (1972) Amer. J. Math. , vol.94 , pp. 1027-1077
    • Matsusaka, T.1
  • 102
    • 0003204864 scopus 로고
    • Complex surfaces and connected sums of complex projective planes
    • Moi, Springer, Berlin-New York
    • [Moi] B. Moishezon, Complex surfaces and connected sums of complex projective planes, Lect. Notes in Math., vol. 603, Springer, Berlin-New York, 1977.
    • (1977) Lect. Notes in Math. , vol.603
    • Moishezon, B.1
  • 103
    • 0001343954 scopus 로고
    • On a generalization of complete intersections
    • Mo1
    • [Mo1] S. Mori, On a generalization of complete intersections, J. Math. Kyoto Univ. 15, No. 3 (1975), 619-646.
    • (1975) J. Math. Kyoto Univ. , vol.15 , Issue.3 , pp. 619-646
    • Mori, S.1
  • 104
    • 0000387711 scopus 로고
    • Projective manifolds with ample tangent bundles
    • Mo2
    • [Mo2] S. Mori, Projective manifolds with ample tangent bundles, Ann. of Math. 110 (1979), 593-606.
    • (1979) Ann. of Math. , vol.110 , pp. 593-606
    • Mori, S.1
  • 105
    • 0001330370 scopus 로고
    • Threefolds whose canonical bundles are not numerically effective
    • Mo3
    • [Mo3] S. Mori, Threefolds whose canonical bundles are not numerically effective, Ann. of Math. 116 (1982), 133-176.
    • (1982) Ann. of Math. , vol.116 , pp. 133-176
    • Mori, S.1
  • 106
    • 0000255243 scopus 로고
    • On Hartshorne's conjecture
    • MoS
    • [MoS] S. Mori-H. Sumihiro, On Hartshorne's conjecture, J. Math. Kyoto. U. 18 (1978), 523-533.
    • (1978) J. Math. Kyoto. U. , vol.18 , pp. 523-533
    • Mori, S.1    Sumihiro, H.2
  • 107
    • 0000646659 scopus 로고
    • Biregular classification of Fano 3-folds and Fano manifolds of coindex 3
    • Muk
    • [Muk] S. Mukai, Biregular classification of Fano 3-folds and Fano manifolds of coindex 3, Proc. Natl. Acad. Sci. USA 86 (1989), 3000-3002.
    • (1989) Proc. Natl. Acad. Sci. USA , vol.86 , pp. 3000-3002
    • Mukai, S.1
  • 108
    • 0000625991 scopus 로고
    • On the formal neighborhood of a subvariety of projective space
    • Og
    • A. Ogus, On the formal neighborhood of a subvariety of projective space, Amer. J. Math. 97 (1975), 1085-1107.
    • (1975) Amer. J. Math. , vol.97 , pp. 1085-1107
    • Ogus, A.1
  • 109
    • 0031285609 scopus 로고    scopus 로고
    • On odd dimensional projective manifolds with smallest secant varieties
    • Oh1
    • [Oh1] M. Ohno, On odd dimensional projective manifolds with smallest secant varieties, Math. Z. 226 (1997), 483-498.
    • (1997) Math. Z. , vol.226 , pp. 483-498
    • Ohno, M.1
  • 112
    • 0003213932 scopus 로고
    • Vector bundles on complex projective spaces
    • OSS, Birkhäuser
    • [OSS] C. Okonek-M. Schneider-H. Spindler, Vector bundles on complex projective spaces, Progress math., vol. 3, Birkhäuser, 1980.
    • (1980) Progress Math. , vol.3
    • Okonek, C.1    Schneider, M.2    Spindler, H.3
  • 113
    • 0012059834 scopus 로고
    • Vanishing theorems, linear and quadratic normality
    • PLePS
    • [PLePS] T. Peternell-J. Le-Potier-M. Schneider, Vanishing theorems, linear and quadratic normality, Invent. Marth. 87 (1987), 573-586.
    • (1987) Invent. Marth. , vol.87 , pp. 573-586
    • Peternell, T.1    Le-Potier, J.2    Schneider, M.3
  • 114
    • 0012089432 scopus 로고
    • Manifolds of semi-positive curvatures
    • Pe, Transcendental Methods in Algebraic Geometry, Cetraro, Springer-Verlag
    • [Pe] T. Peternell, Manifolds of semi-positive curvatures, in Transcendental Methods in Algebraic Geometry, Cetraro 1994, Lect. Notes in Math., vol. 1646, Springer-Verlag, 1996, pp. 98-142.
    • (1994) Lect. Notes in Math. , vol.1646 , pp. 98-142
    • Peternell, T.1
  • 115
  • 116
    • 0000421990 scopus 로고
    • On projective varieties of codimension 2
    • Ra1
    • [Ra1] Z. Ran, On projective varieties of codimension 2, Invent. Math. 73 (1983), 333-336.
    • (1983) Invent. Math. , vol.73 , pp. 333-336
    • Ran, Z.1
  • 117
    • 0012057738 scopus 로고
    • The structure of Gauss-like maps
    • Ra2
    • [Ra2] Z. Ran, The structure of Gauss-like maps, Compos. Math. 52 (1984), 171-177.
    • (1984) Compos. Math. , vol.52 , pp. 171-177
    • Ran, Z.1
  • 119
    • 0001254571 scopus 로고
    • Generic projections of algebraic varieties
    • Rob
    • [Rob] J. Roberts, Generic projections of algebraic varieties, Amer. J. Math. 98 (1971), 191-214.
    • (1971) Amer. J. Math. , vol.98 , pp. 191-214
    • Roberts, J.1
  • 120
    • 0012055944 scopus 로고
    • A synthesis of the Clifford matrices and its generalization
    • Roo
    • [Roo] T. Room, A synthesis of the Clifford matrices and its generalization, Amer. J. Math. 74 (1952), 967-984.
    • (1952) Amer. J. Math. , vol.74 , pp. 967-984
    • Room, T.1
  • 121
    • 84972498106 scopus 로고
    • Uniform vector bundles on a projective space
    • Sat0
    • [Sat0] E. Sato, Uniform vector bundles on a projective space, J. Math. Soc. Japan 28, No. 1 (1976), 123-132.
    • (1976) J. Math. Soc. Japan , vol.28 , Issue.1 , pp. 123-132
    • Sato, E.1
  • 122
    • 0012055255 scopus 로고
    • On the decomposability of infinitely extendable vector bundles on projective spaces and Grassmannians
    • Sat1
    • [Sat1] E. Sato, On the decomposability of infinitely extendable vector bundles on projective spaces and Grassmannians, J. Math. Kyoto U. 17, No. 1 (1977), 127-150.
    • (1977) J. Math. Kyoto U. , vol.17 , Issue.1 , pp. 127-150
    • Sato, E.1
  • 123
    • 0012026113 scopus 로고
    • On infinitely extendable vector bundles on G/P
    • Sat2
    • [Sat2] E. Sato, On infinitely extendable vector bundles on G/P, J. Math. Kyoto U. 19, No. 1 (1979), 171-189.
    • (1979) J. Math. Kyoto U. , vol.19 , Issue.1 , pp. 171-189
    • Sato, E.1
  • 124
    • 0012026744 scopus 로고
    • Babylonian tower theorem on variety
    • Sat3
    • [Sat3] E. Sato, Babylonian tower theorem on variety, J. Math. Kyoto Univ. 31, No. 4 (1991), 881-897.
    • (1991) J. Math. Kyoto Univ. , vol.31 , Issue.4 , pp. 881-897
    • Sato, E.1
  • 125
    • 84972494452 scopus 로고
    • Criterion for uniruledness in positive characteristic
    • Sat4
    • [Sat4] E. Sato, Criterion for uniruledness in positive characteristic, Tohoku Math. J. 45 (1993), 447-460.
    • (1993) Tohoku Math. J. , vol.45 , pp. 447-460
    • Sato, E.1
  • 126
    • 0031285639 scopus 로고    scopus 로고
    • Projective manifolds swept out by large dimensional linear spaces
    • Sat5
    • [Sat5] E. Sato, Projective manifolds swept out by large dimensional linear spaces, Tohoku Math. J. 49 (1997), 299-321.
    • (1997) Tohoku Math. J. , vol.49 , pp. 299-321
    • Sato, E.1
  • 128
    • 0012026745 scopus 로고
    • Invarianti topologico-differenziali, varietà di Veronese e moduli di forme algebriche
    • Seg
    • [Seg] B. Segre, Invarianti topologico-differenziali, varietà di Veronese e moduli di forme algebriche, Annali di Mat. 41 (1956), 113-138.
    • (1956) Annali di Mat. , vol.41 , pp. 113-138
    • Segre, B.1
  • 129
    • 0038153594 scopus 로고
    • Some properties of differentiable varieties and transformations; With special reference to the analytic and algebraic cases
    • Seg2, Neue Folge, Heft, Springer-Verlag, Berlin-Göttingen-Heidelberg
    • [Seg2] B. Segre, Some properties of differentiable varieties and transformations; with special reference to the analytic and algebraic cases, Ergeb. Math. Grenzgb, Neue Folge, Heft 13, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1957.
    • (1957) Ergeb. Math. Grenzgb , vol.13
    • Segre, B.1
  • 130
    • 0002060738 scopus 로고
    • Intorno ai punti doppi impropri di una superficie generale dello spazio a quattro dimensioni, e a suoi punti tripli apparenti
    • Sev
    • [Sev] F. Severi, Intorno ai punti doppi impropri di una superficie generale dello spazio a quattro dimensioni, e a suoi punti tripli apparenti, Rend. Circ. Mat. Palermo, II Ser. 15 (1901), 377-401.
    • (1901) Rend. Circ. Mat. Palermo , vol.2 , Issue.SER. 15 , pp. 377-401
    • Severi, F.1
  • 131
    • 0001569089 scopus 로고    scopus 로고
    • Fano threefolds in characteristic p
    • ShB
    • [ShB] N.I. Shepherd-Barton, Fano threefolds in characteristic p, Comp. Math. 105 (1997), 237-265.
    • (1997) Comp. Math. , vol.105 , pp. 237-265
    • Shepherd-Barton, N.I.1
  • 132
    • 0012087223 scopus 로고
    • Cohomology and splitting of Hermitian-Einstein vector bundles
    • Shi
    • [Shi] B. Shiffman, Cohomology and splitting of Hermitian-Einstein vector bundles, Math. Ann. 289 (1991), 573-579.
    • (1991) Math. Ann. , vol.289 , pp. 573-579
    • Shiffman, B.1
  • 133
    • 0001218067 scopus 로고
    • Smoothness of the anticanonical divisor on a Fano 3-fold
    • Sho1
    • [Sho1] V.V. Shokurov, Smoothness of the anticanonical divisor on a Fano 3-fold, Math. USSR. Izv. 14, No. 2 (1980), 395-405.
    • (1980) Math. USSR. Izv. , vol.14 , Issue.2 , pp. 395-405
    • Shokurov, V.V.1
  • 134
    • 0000716978 scopus 로고
    • The existence of a straight line on Fano 3-folds
    • Sho2
    • [Sho2] V.V. Shokurov, The existence of a straight line on Fano 3-folds, Math. USSR. Izv. 15, No. 1 (1980), 173-209.
    • (1980) Math. USSR. Izv. , vol.15 , Issue.1 , pp. 173-209
    • Shokurov, V.V.1
  • 135
    • 84956241019 scopus 로고
    • The non-vanishing theorem
    • Sho3
    • [Sho3] V.V. Shokurov, The non-vanishing theorem, Math. USSR. Izv. 26 (1986), 591-604.
    • (1986) Math. USSR. Izv. , vol.26 , pp. 591-604
    • Shokurov, V.V.1
  • 136
    • 0002203637 scopus 로고
    • On manifolds that cannot be ample divisors
    • So
    • [So] A. Sommese, On manifolds that cannot be ample divisors, Math. Ann. 221 (1976), 55-72.
    • (1976) Math. Ann. , vol.221 , pp. 55-72
    • Sommese, A.1
  • 137
    • 0000264280 scopus 로고
    • On the adjunetion mapping
    • SoV
    • [SoV] A. Sommese-A. Van de Ven, On the adjunetion mapping, Math. Ann. 278 (1987), 593-603.
    • (1987) Math. Ann. , vol.278 , pp. 593-603
    • Sommese, A.1    Van de Ven, A.2
  • 139
    • 0000365446 scopus 로고
    • On (n - 1)-dimensional projective spaces contained in the Grassmann variety Gr(n, 1)
    • Tan1
    • [Tan1] H. Tango, On (n - 1)-dimensional projective spaces contained in the Grassmann variety Gr(n, 1), J. Math. Kyoto U. 14 (1974), 415-460.
    • (1974) J. Math. Kyoto U. , vol.14 , pp. 415-460
    • Tango, H.1
  • 140
    • 0012024924 scopus 로고
    • On the Cartan-Burau variety, I
    • Tan2
    • [Tan2] H. Tango, On the Cartan-Burau variety, I, Bull. Kyoto Univ. of Edu. 50 (1977), 1-15.
    • (1977) Bull. Kyoto Univ. of Edu. , vol.50 , pp. 1-15
    • Tango, H.1
  • 141
    • 0040778398 scopus 로고
    • n to the Grassmann variety Gr(n, d)
    • Tan3
    • n to the Grassmann variety Gr(n, d), J. Math. Kyoto U. 16 (1976), 137-141.
    • (1976) J. Math. Kyoto U. , vol.16 , pp. 137-141
    • Tango, H.1
  • 142
    • 0002222087 scopus 로고
    • Remark on varieties with small secant varieties
    • Tan4
    • [Tan4] H. Tango, Remark on varieties with small secant varieties, Bull. Kyoto Univ. Edu. Ser. B 60 (1982), 1-10.
    • (1982) Bull. Kyoto Univ. Edu. Ser. B , vol.60 , pp. 1-10
    • Tango, H.1
  • 143
    • 0000228248 scopus 로고
    • k (h + 1)-seganti ha dimensione minare dell'ordinario
    • Te
    • k (h + 1)-seganti ha dimensione minare dell'ordinario, Rend. Circ. Mat. Palermo 31 (1) (1911), 392-396.
    • (1911) Rend. Circ. Mat. Palermo , vol.31 , Issue.1 , pp. 392-396
    • Terracini, A.1
  • 144
    • 0012057525 scopus 로고
    • Vector bundles of finite rank over infinite varieties
    • Tj
    • [Tj] A. Tjurin, Vector bundles of finite rank over infinite varieties, Math. USSR Izv. 10 (1976), 1187-1204.
    • (1976) Math. USSR Izv. , vol.10 , pp. 1187-1204
    • Tjurin, A.1
  • 145
    • 0000512465 scopus 로고
    • On uniform vector bundles
    • Va
    • [Va] A. Van de Ven, On uniform vector bundles, Math. Ann. 195 (1972), 245-248.
    • (1972) Math. Ann. , vol.195 , pp. 245-248
    • Van de Ven, A.1
  • 147
    • 0001637897 scopus 로고
    • Length of extremal rays and generalized adjunction
    • W1
    • [W1] J. Wiśniewski, Length of extremal rays and generalized adjunction, Math. Z. 200 (1989), 409-427.
    • (1989) Math. Z. , vol.200 , pp. 409-427
    • Wiśniewski, J.1
  • 148
    • 84973998806 scopus 로고
    • On the deformation of nef values
    • W2
    • [W2] J. Wiśniewski, On the deformation of nef values, Duke. Math. J. 64 (1991), 325-332.
    • (1991) Duke. Math. J. , vol.64 , pp. 325-332
    • Wiśniewski, J.1
  • 149
    • 0000423816 scopus 로고
    • Projection of algebraic varieties
    • Zak1
    • [Zak1] F.L. Zak, Projection of algebraic varieties, Math. USSR Sbornik 44 (1983), 535-544.
    • (1983) Math. USSR Sbornik , vol.44 , pp. 535-544
    • Zak, F.L.1
  • 150
    • 0012088675 scopus 로고
    • The structure of Gauss mappings
    • Zak2
    • [Zak2] F.L. Zak, The structure of Gauss mappings, Funct. Anal. Appl. 21 (1987).
    • (1987) Funct. Anal. Appl. , vol.21
    • Zak, F.L.1
  • 151
    • 0003197116 scopus 로고
    • Tangents and secants of algebraic varieties
    • Zak3, Amer. Math. Soc. Providence, RI
    • [Zak3] F.L. Zak, Tangents and secants of algebraic varieties, Transl. of Math. Monographs, vol. 127, Amer. Math. Soc. Providence, RI, 1993.
    • (1993) Transl. of Math. Monographs , vol.127
    • Zak, F.L.1
  • 152
    • 0012090589 scopus 로고
    • Linear systems of hyperplane sections on varieties of low codimension
    • Zak4
    • [Zak4] F.L. Zak, Linear systems of hyperplane sections on varieties of low codimension, Funct. Anal. Appl. 19 (1986), 165-173.
    • (1986) Funct. Anal. Appl. , vol.19 , pp. 165-173
    • Zak, F.L.1
  • 153
    • 0001021786 scopus 로고
    • The theory of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
    • Zar
    • [Zar] O. Zariski, The theory of Riemann-Roch for high multiples of an effective divisor on an algebraic surface, Ann. of Math. 76 (1962), 560-615.
    • (1962) Ann. of Math. , vol.76 , pp. 560-615
    • Zariski, O.1
  • 154
    • 84974325853 scopus 로고
    • A remark on elementary contractions
    • Zh
    • [Zh] Q. Zhang, A remark on elementary contractions, Math. Proc. Camb. Phil. Soc. 118 (1995), 183-188.
    • (1995) Math. Proc. Camb. Phil. Soc. , vol.118 , pp. 183-188
    • Zhang, Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.