메뉴 건너뛰기




Volumn 144, Issue 3, 1996, Pages 641-683

Del Pezzo surfaces over Dedekind schemes

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030371115     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2118567     Document Type: Article
Times cited : (39)

References (40)
  • 1
    • 11144310354 scopus 로고    scopus 로고
    • Rationality condition for three dimensional varieties with a pencil of Del Pezzo surfaces of degree 4
    • V. Alexeev, Rationality condition for three dimensional varieties with a pencil of Del Pezzo surfaces of degree 4, Math. Notes 41, 408-411.
    • Math. Notes , vol.41 , pp. 408-411
    • Alexeev, V.1
  • 2
    • 0002239310 scopus 로고
    • General elephants for ℚ-Fano 3-folds
    • _, General elephants for ℚ-Fano 3-folds, Comp. Math. 91 (1994), 91-116.
    • (1994) Comp. Math. , vol.91 , pp. 91-116
  • 3
    • 0001622412 scopus 로고
    • Lipman's proof of resolution of singularities for surfaces
    • G. Cornell and J. H. Silverman eds., Springer-Verlag, New York
    • M. Artin, Lipman's proof of resolution of singularities for surfaces, Arithmetic Geometry, G. Cornell and J. H. Silverman eds., Springer-Verlag, New York (1986), 267-287.
    • (1986) Arithmetic Geometry , pp. 267-287
    • Artin, M.1
  • 5
    • 0007088902 scopus 로고
    • Polarized mixed Hodge structures: On irrationality of threefolds via degeneration
    • F. Bardelli, Polarized mixed Hodge structures: on irrationality of threefolds via degeneration, Annali di Mat. pura e appl. 138 (1984), 287-369.
    • (1984) Annali di Mat. Pura e Appl. , vol.138 , pp. 287-369
    • Bardelli, F.1
  • 6
    • 0010671349 scopus 로고
    • Sur le cone des 1-cycles effectifs en dimension 3
    • X. Benveniste, Sur le cone des 1-cycles effectifs en dimension 3, Math. Ann. 272 (1985), 257-265.
    • (1985) Math. Ann. , vol.272 , pp. 257-265
    • Benveniste, X.1
  • 7
    • 0000210049 scopus 로고
    • On the classification of cubic surfaces
    • J. W. Bruce and C. T. C. Wall, On the classification of cubic surfaces, J. London Math. Soc. 19 (1979), 245-256.
    • (1979) J. London Math. Soc. , vol.19 , pp. 245-256
    • Bruce, J.W.1    Wall, C.T.C.2
  • 8
    • 0002152594 scopus 로고
    • Arithmétique des variétés rationnelles et problèmes birationnels
    • J.-L. Colliot-Thélène, Arithmétique des variétés rationnelles et problèmes birationnels, Proc. Int. Conf. Math. (1986), 641-653.
    • (1986) Proc. Int. Conf. Math. , pp. 641-653
    • Colliot-Thélène, J.-L.1
  • 9
    • 84972554867 scopus 로고
    • On the Chow groups of certain rational surfaces: A sequel to a paper of S. Bloch
    • J.-L. Colliot-Thélène and J.-J. Sansuc, On the Chow groups of certain rational surfaces: A sequel to a paper of S. Bloch, Duke Math. J. 48 (1981), 421-447.
    • (1981) Duke Math. J. , vol.48 , pp. 421-447
    • Colliot-Thélène, J.-L.1    Sansuc, J.-J.2
  • 10
    • 0001315298 scopus 로고
    • Factoring birational maps of threefolds after Sarkisov
    • A. Corti, Factoring birational maps of threefolds after Sarkisov, J. Alg. Geom. 4 (1995), 223-254.
    • (1995) J. Alg. Geom. , vol.4 , pp. 223-254
    • Corti, A.1
  • 12
    • 0003176691 scopus 로고    scopus 로고
    • Surfaces de Del Pezzo
    • Séminaire sur les singularités des surfaces, Springer-Verlag, New York
    • M. Demazure, Surfaces de Del Pezzo, Séminaire sur les singularités des surfaces, Lecture Notes in Math., Springer-Verlag, New York 777 (1980).
    • Lecture Notes in Math. , vol.777 , pp. 1980
    • Demazure, M.1
  • 13
    • 0003307619 scopus 로고
    • Flips and abundance for threefolds
    • J. Kollár et al., Flips and abundance for threefolds, vol. 211, Astérisque, 1993.
    • (1993) Astérisque , vol.211
    • Kollár, J.1
  • 14
    • 34249965388 scopus 로고
    • Rational points of bounded height on Fano varieties
    • J. Franke, Yu. I. Manin, and Y. Tschinkel, Rational points of bounded height on Fano varieties, Invent. Math. 95 (1989), 421-435.
    • (1989) Invent. Math. , vol.95 , pp. 421-435
    • Franke, J.1    Manin, Yu.I.2    Tschinkel, Y.3
  • 15
    • 84972539459 scopus 로고
    • Normal gorenstein surfaces with ample anticanonical divisor
    • F. Hidaka and K. Watanabe, Normal Gorenstein surfaces with ample anticanonical divisor, Tokyo J. Math. 4 (1981), 283-360.
    • (1981) Tokyo J. Math. , vol.4 , pp. 283-360
    • Hidaka, F.1    Watanabe, K.2
  • 16
    • 84972511493 scopus 로고
    • Moduli space of polarized Del Pezzo surfaces and its compactification
    • S. Ishii, Moduli space of polarized Del Pezzo surfaces and its compactification, Tokyo J. Math. 5 (1982), 289-297.
    • (1982) Tokyo J. Math. , vol.5 , pp. 289-297
    • Ishii, S.1
  • 17
    • 0001935835 scopus 로고
    • The crepant blowing-up of 3-dimensional canonical singularities and its application to the degeneration of surfaces
    • Y. Kawamata, The crepant blowing-up of 3-dimensional canonical singularities and its application to the degeneration of surfaces, Ann. of Math. 127 (1988), 93-163.
    • (1988) Ann. of Math. , vol.127 , pp. 93-163
    • Kawamata, Y.1
  • 18
    • 0000526845 scopus 로고
    • Introduction to the minimal model problem
    • Algebraic Geometry, T. Oda, ed.
    • Y. Kawamata, K. Matsuda, and K. Matsuki, Introduction to the minimal model problem, Algebraic Geometry, Sendai, Adv. Stud. Pure Math., T. Oda, ed. 10 (1987), 283-360.
    • (1987) Sendai, Adv. Stud. Pure Math. , vol.10 , pp. 283-360
    • Kawamata, Y.1    Matsuda, K.2    Matsuki, K.3
  • 20
    • 0000912457 scopus 로고
    • Threefolds and deformations of surface singularities
    • J. Kollár and N. Shepherd-Barron. Threefolds and deformations of surface singularities, Inv. Math. 91 (1988), 299-338.
    • (1988) Inv. Math. , vol.91 , pp. 299-338
    • Kollár, J.1    Shepherd-Barron, N.2
  • 21
    • 0000894579 scopus 로고
    • On minimally elliptic singularities
    • H. B. Laufer, On minimally elliptic singularities, Amer. J. Math. 99 (1977), 1257-1295.
    • (1977) Amer. J. Math. , vol.99 , pp. 1257-1295
    • Laufer, H.B.1
  • 22
    • 51249191253 scopus 로고
    • Rational singularities, with applications to algebraic surfaces and unique factorization
    • J. Lipman, Rational singularities, with applications to algebraic surfaces and unique factorization, Publ. Math. I.H.E.S. 36 (1969), 195-279.
    • (1969) Publ. Math. I.H.E.S. , vol.36 , pp. 195-279
    • Lipman, J.1
  • 23
    • 33748319891 scopus 로고
    • Rational surfaces over perfect fields
    • Yu. I. Manin, Rational surfaces over perfect fields, Transl. Amer. Math. Soc. 2 (1969), 137-186.
    • (1969) Transl. Amer. Math. Soc. , vol.2 , pp. 137-186
    • Manin, Yu.I.1
  • 24
    • 0003093092 scopus 로고
    • Notes on the arithmetic of Fano threefolds
    • _, Notes on the arithmetic of Fano threefolds, Comp. Math. 85 (1993), 37-55.
    • (1993) Comp. Math. , vol.85 , pp. 37-55
  • 25
    • 0010962657 scopus 로고
    • Normal degenerations of the complex projective plane
    • M. Manetti, Normal degenerations of the complex projective plane, J. reine angew. Math. 419 (1991), 89-118.
    • (1991) J. Reine Angew. Math. , vol.419 , pp. 89-118
    • Manetti, M.1
  • 26
    • 0001330370 scopus 로고
    • Threefolds whose canonical bundles are not numerically effective
    • 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
  • 27
    • 84972511900 scopus 로고
    • On 3-dimensional terminal singularities
    • _, On 3-dimensional terminal singularities, Nagoya Math. J. 98 (1985), 43-66.
    • (1985) Nagoya Math. J. , vol.98 , pp. 43-66
  • 28
    • 84968510959 scopus 로고
    • Flip theorem and the existence of minimal models for 3-folds
    • _, Flip theorem and the existence of minimal models for 3-folds, J.A.M.S. 1 (1988), 117-253.
    • (1988) J.A.M.S. , vol.1 , pp. 117-253
  • 29
    • 84956222118 scopus 로고
    • Rational varieties, algebra, geometry and arithmetic
    • Yu. I. Manin and M. A. Tsfasman, Rational varieties, algebra, geometry and arithmetic, Russian Math. Surveys 41 (1986), 51-116.
    • (1986) Russian Math. Surveys , vol.41 , pp. 51-116
    • Manin, Yu.I.1    Tsfasman, M.A.2
  • 30
    • 84973999776 scopus 로고
    • Hauteurs et mesures de tamagawa sur les variétés de Fano
    • E. Peyre, Hauteurs et mesures de Tamagawa sur les variétés de Fano, Duke Math. J. 79 (1995), 101-218.
    • (1995) Duke Math. J. , vol.79 , pp. 101-218
    • Peyre, E.1
  • 32
    • 0002560845 scopus 로고
    • Canonical 3-folds
    • A. Beauville, ed., Sijthoff-Noordhoff
    • _, Canonical 3-folds, Géometrie Algébrique Angers, A. Beauville, ed., Sijthoff-Noordhoff (1980), 273-310.
    • (1980) Géometrie Algébrique Angers , pp. 273-310
  • 33
    • 0001385597 scopus 로고
    • Minimal models of canonical 3-folds
    • Algebraic Varieties and Analytic Varieties
    • _, Minimal models of canonical 3-folds, Algebraic Varieties and Analytic Varieties, Adv. Stud. Pure Math. 1 (1983), 131-180.
    • (1983) Adv. Stud. Pure Math. , vol.1 , pp. 131-180
  • 35
    • 0001469095 scopus 로고
    • Young Person's guide to canonical singularities
    • Algebraic Geometry, Bowdoin 1985
    • _, Young Person's guide to canonical singularities, In: Algebraic Geometry, Bowdoin 1985 (part 1), Proc. of Symp. in Pure Math. 46 (1987), 345-414.
    • (1987) Proc. of Symp. in Pure Math. , vol.46 , Issue.PART 1 , pp. 345-414
  • 38
    • 84956120467 scopus 로고
    • On conic bundle structures
    • V. G. Sarkisov, On conic bundle structures, Math. USSR Izv. 20 (1982), 355-391.
    • (1982) Math. USSR Izv. , vol.20 , pp. 355-391
    • Sarkisov, V.G.1
  • 40
    • 0001218067 scopus 로고
    • The smoothness of a general anticanonical divisor on a Fano variety
    • V. V. Shokurov, The smoothness of a general anticanonical divisor on a Fano variety, Math. USSR Izv. 14 (1980), 395-405.
    • (1980) Math. USSR Izv. , vol.14 , pp. 395-405
    • Shokurov, V.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.