메뉴 건너뛰기




Volumn 29, Issue 4-5, 2000, Pages 545-582

Non-general type surfaces in P4: Some remarks on bounds and constructions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034178707     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.1999.0323     Document Type: Article
Times cited : (24)

References (53)
  • 1
    • 0041352574 scopus 로고    scopus 로고
    • 4 arising from a stable rank-3 vector bundle
    • 4 arising from a stable rank-3 vector bundle. Math. Z., 229, 725-741.
    • (1998) Math. Z. , vol.229 , pp. 725-741
    • Abo, H.1    Decker, W.2    Sasakura, N.3
  • 8
    • 0033570841 scopus 로고    scopus 로고
    • Extremal betti numbers and applications to monomial ideals
    • Bayer, D., Charalambous, H., Popescu, S. (1999). Extremal betti numbers and applications to monomial ideals. J. Algebra, 221, 497-512.
    • (1999) J. Algebra , vol.221 , pp. 497-512
    • Bayer, D.1    Charalambous, H.2    Popescu, S.3
  • 9
    • 84972552380 scopus 로고
    • A theorem on refining division orders by the reverse lexicographic orders
    • Bayer, D., Stillman, M. (1987a). A theorem on refining division orders by the reverse lexicographic orders. Duke. J. Math., 55, 321-328.
    • (1987) Duke. J. Math. , vol.55 , pp. 321-328
    • Bayer, D.1    Stillman, M.2
  • 10
    • 26044478840 scopus 로고
    • A criterion for detecting m-regularity
    • Bayer, D., Stillman, M. (1987b). A criterion for detecting m-regularity. Invent. Math., 87, 1-11.
    • (1987) Invent. Math. , vol.87 , pp. 1-11
    • Bayer, D.1    Stillman, M.2
  • 11
    • 34250282861 scopus 로고
    • n and problems of linear algebra
    • n and problems of linear algebra. Fund. Anal. Appl., 12, 214-216.
    • (1978) Fund. Anal. Appl. , vol.12 , pp. 214-216
    • Beilinson, A.1
  • 13
    • 0003102216 scopus 로고    scopus 로고
    • 4 not of general type has degree at most 66
    • 4 not of general type has degree at most 66. Compositio Math., 107, 1-9.
    • (1997) Compositio Math. , vol.107 , pp. 1-9
    • Braun, R.1    Cook, M.2
  • 15
    • 0002304564 scopus 로고
    • Sur quelques resultats nouveaux dans la theorie des surfaces algebriques Note V
    • In Picard, E., Simart, G. eds, New York, Chelsea Pub Co.
    • Castelnuovo, G., Enriques, F. (1971). Sur quelques resultats nouveaux dans la theorie des surfaces algebriques Note V. In Picard, E., Simart, G. eds, Théorie des Fonctions Algebriques de Deux Variables Indépendantes, New York, Chelsea Pub Co.
    • (1971) Théorie des Fonctions Algebriques de Deux Variables Indépendantes
    • Castelnuovo, G.1    Enriques, F.2
  • 16
    • 0000839966 scopus 로고    scopus 로고
    • 4 not of general type
    • 4 not of general type. Compositio Math., 102, 141-145.
    • (1996) Compositio Math. , vol.102 , pp. 141-145
    • Cook, M.1
  • 18
    • 0000327185 scopus 로고    scopus 로고
    • The connectedness of space curve invariants
    • Cook, M. (1998). The connectedness of space curve invariants. Compositio Math., 111, 221-244.
    • (1998) Compositio Math. , vol.111 , pp. 221-244
    • Cook, M.1
  • 21
    • 0002557565 scopus 로고
    • Minimal resolutions of some monomial ideals
    • Eliahu, S., Kervaire, M. (1990). Minimal resolutions of some monomial ideals. J. Algebra, 129, 1-25.
    • (1990) J. Algebra , vol.129 , pp. 1-25
    • Eliahu, S.1    Kervaire, M.2
  • 23
    • 0000082080 scopus 로고
    • A propos du théorème de préperation de weierstrass
    • Berlin, Springer
    • Galligo, A. (1974). A propos du théorème de préperation de weierstrass. In Fonctions des Plusieurs Variables Complexes, Berlin, Springer.
    • (1974) Fonctions des Plusieurs Variables Complexes
    • Galligo, A.1
  • 26
    • 0001535279 scopus 로고
    • On a theorem of Castelnuovo and the equations defining space curves
    • Gruson, L., Lazarsfeld, R., Peskine, Ch. (1983). On a theorem of Castelnuovo and the equations defining space curves. Invent. Math., 72, 491-506.
    • (1983) Invent. Math. , vol.72 , pp. 491-506
    • Gruson, L.1    Lazarsfeld, R.2    Peskine, Ch.3
  • 29
    • 0002704682 scopus 로고
    • The genus of space curves
    • Harris, J. (1980). The genus of space curves. Math. Math., 249, 191-204.
    • (1980) Math. Math. , vol.249 , pp. 191-204
    • Harris, J.1
  • 31
    • 0013465870 scopus 로고
    • Embedded projective varieties of small invariants III
    • Berlin, Springer
    • Ionescu, P. (1988). Embedded projective varieties of small invariants III, in Algebraic Geometry, L'Aquila 1988. Berlin, Springer.
    • (1988) Algebraic Geometry, L'Aquila 1988
    • Ionescu, P.1
  • 32
    • 51649191676 scopus 로고
    • Geometry on grassmanians and applications to splitting bundles and smoothing cycles
    • Kleiman, S. (1969). Geometry on grassmanians and applications to splitting bundles and smoothing cycles. Publ. Math. I.H.E.S., 36, 281-297.
    • (1969) Publ. Math. I.H.E.S. , vol.36 , pp. 281-297
    • Kleiman, S.1
  • 33
    • 84942398709 scopus 로고
    • 4 tracées sur une hypersurface cubique
    • 4 tracées sur une hypersurface cubique. J. Reine Angew. Math., 433, 13-141.
    • (1992) J. Reine Angew. Math. , vol.433 , pp. 13-141
    • Koelblen, L.1
  • 36
    • 0002105229 scopus 로고
    • Formules pour les multisecantes des surfaces
    • Le Barz, P. (1981). Formules pour les multisecantes des surfaces. C.R. Acad. Sc. Paris, 292, 797-799.
    • (1981) C.R. Acad. Sc. Paris , vol.292 , pp. 797-799
    • Le Barz, P.1
  • 37
    • 84960614673 scopus 로고
    • Some properties of enumeration in the theory of modular systems
    • Macaulay, F. (1927). Some properties of enumeration in the theory of modular systems. Proc. London Math. Soc., 26, 531-555.
    • (1927) Proc. London Math. Soc. , vol.26 , pp. 531-555
    • Macaulay, F.1
  • 41
    • 0000652666 scopus 로고
    • Liaison des variétés algébriques I
    • Peskine, Ch., Szpiro, L. (1974). Liaison des variétés algébriques I. Invent. Math., 26, 271-302.
    • (1974) Invent. Math. , vol.26 , pp. 271-302
    • Peskine, Ch.1    Szpiro, L.2
  • 42
    • 0041596955 scopus 로고
    • Dissertation, Saarbrücken
    • 4. Dissertation, Saarbrücken.
    • (1993) 4
    • Popescu, S.1
  • 43
    • 0030549459 scopus 로고    scopus 로고
    • Surfaces of degree 10 in the projective four-space via linear systems and linkage
    • Popescu, S., Ranestad, K. (1996). Surfaces of degree 10 in the projective four-space via linear systems and linkage. J. Algebr. Geom., 5, 13-76.
    • (1996) J. Algebr. Geom. , vol.5 , pp. 13-76
    • Popescu, S.1    Ranestad, K.2
  • 44
    • 0000031253 scopus 로고
    • Vector bundles of rank 2 linear systems on algebraic surfaces
    • Reider, I. (1988). Vector bundles of rank 2 linear systems on algebraic surfaces. Ann. Math., 127, 309-316.
    • (1988) Ann. Math. , vol.127 , pp. 309-316
    • Reider, I.1
  • 45
    • 84893226465 scopus 로고
    • On the projective classification of surfaces
    • Roth, L. (1937). On the projective classification of surfaces. Proc. London, Math. Soc., 42, 142-170.
    • (1937) Proc. London, Math. Soc. , vol.42 , pp. 142-170
    • Roth, L.1
  • 47
    • 0002139242 scopus 로고    scopus 로고
    • Small fields in constructive algebraic geometry
    • New York, Dekker
    • Schreyer, F.-O. (1996). Small fields in constructive algebraic geometry. In Moduli of Vector Bundles, Sanda 1994, New York, Dekker.
    • (1996) Moduli of Vector Bundles, Sanda 1994
    • Schreyer, F.-O.1
  • 48
    • 0002060738 scopus 로고
    • Intorno ai punti doppi improri di una superficie generale dello spazio ai quattro dimensioni, e a suoi punti tripli apparenti
    • Severi, F. (1901). Intorno ai punti doppi improri di una superficie generale dello spazio ai quattro dimensioni, e a suoi punti tripli apparenti. Rend. Circ. Math. Palermo, 15, 33-51.
    • (1901) Rend. Circ. Math. Palermo , vol.15 , pp. 33-51
    • Severi, F.1
  • 49
    • 84972576604 scopus 로고
    • Hyperplane sections of projective surfaces I. The adjunction mapping
    • Sommese, A. J. (1979). Hyperplane sections of projective surfaces I. The adjunction mapping. Duke Math. J., 46, 377-401.
    • (1979) Duke Math. J. , vol.46 , pp. 377-401
    • Sommese, A.J.1
  • 50
    • 0000264280 scopus 로고
    • On the adjunction mapping
    • Sommese, A. J., Van de Ven, A. (1987). On the adjunction mapping. Math. Ann., 278, 593-603.
    • (1987) Math. Ann. , vol.278 , pp. 593-603
    • Sommese, A.J.1    Van de Ven, A.2
  • 51
    • 0001721721 scopus 로고
    • Sulle sezioni iperpiane delle curve
    • Strano, R. (1987). Sulle sezioni iperpiane delle curve. Rend. Sem. Mat. e Fis. Milano, 57, 125-134.
    • (1987) Rend. Sem. Mat. e Fis. Milano , vol.57 , pp. 125-134
    • Strano, R.1
  • 53
    • 84972580102 scopus 로고
    • On the 2-connectedness of very ample divisors on a surface
    • Van de Ven, A. (1979). On the 2-connectedness of very ample divisors on a surface. Duke Math. J., 46, 403-407.
    • (1979) Duke Math. J. , vol.46 , pp. 403-407
    • Van de Ven, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.