Duke Mathematical Journal

On ample vector bundles whose adjunction bundles are not numerically effective

Yun-Gang Ye and Qi Zhang
Source: Duke Math. J. Volume 60, Number 3 (1990), 671-687.
First Page: Show Hide
Primary Subjects: 14J60
Secondary Subjects: 14C20, 14F05
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077297442
Mathematical Reviews number (MathSciNet): MR1054530
Zentralblatt MATH identifier: 0709.14011
Digital Object Identifier: doi:10.1215/S0012-7094-90-06027-2

References

[1] T. Fujita, On the hyperplane section principle of Lefschetz, J. Math. Soc. Japan 32 (1980), no. 1, 153–169.
Mathematical Reviews (MathSciNet): MR81c:14005
Zentralblatt MATH: 0414.14007
Digital Object Identifier: doi:10.2969/jmsj/03210153
Project Euclid: euclid.jmsj/1240235046
[2] T. Fujita, On the structure of polarized varieties with $\Delta$-genera zero, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 22 (1975), 103–115.
Mathematical Reviews (MathSciNet): MR51:5596
Zentralblatt MATH: 0333.14004
[3] T. Fujita, On polarized manifolds whose adjoint bundles are not semipositive, Algebraic Geometry, Sendai, 1985, Advances Studies in Pure Mathematics, vol. 10, North-Holland, Amsterdam, 1987, pp. 167–178.
Mathematical Reviews (MathSciNet): MR89d:14006
Zentralblatt MATH: 0659.14002
[4] R. Hartshorne, Algebraic Geometry, Springer-Verlag, New York, 1977.
Mathematical Reviews (MathSciNet): MR57:3116
Zentralblatt MATH: 0367.14001
[5] R. Hartshorne, Ample vector bundles, Inst. Hautes Études Sci. Publ. Math. (1966), no. 29, 63–94.
Mathematical Reviews (MathSciNet): MR33:1313
Zentralblatt MATH: 0173.49003
[6] P. Ionescu, Generalized adjunction and applications, Math. Proc. Cambridge Philos. Soc. 99 (1986), no. 3, 457–472.
Mathematical Reviews (MathSciNet): MR87e:14031
Zentralblatt MATH: 0619.14004
Digital Object Identifier: doi:10.1017/S0305004100064409
[7] Y. Kawamata, A generalization of Kodaira-Ramanujam's vanishing theorem, Math. Ann. 261 (1982), no. 1, 43–46.
Mathematical Reviews (MathSciNet): MR84i:14022
Zentralblatt MATH: 0476.14007
Digital Object Identifier: doi:10.1007/BF01456407
[8] Y. Kawamata, The cone of curves of algebraic varieties, Ann. of Math. (2) 119 (1984), no. 3, 603–633.
Mathematical Reviews (MathSciNet): MR86c:14013b
Zentralblatt MATH: 0544.14009
Digital Object Identifier: doi:10.2307/2007087
[9] S. Kobayashi and T. Ochiai, Characterizations of complex projective spaces and hyperquadrics, J. Math. Kyoto Univ. 13 (1973), 31–47.
Mathematical Reviews (MathSciNet): MR47:5293
Zentralblatt MATH: 0261.32013
Project Euclid: euclid.kjm/1250523432
[10] J. Kollár, Higher direct images of dualizing sheaves I, Ann. of Math. (2) 123 (1986), no. 1, 11–42.
Mathematical Reviews (MathSciNet): MR87c:14038
Zentralblatt MATH: 0598.14015
Digital Object Identifier: doi:10.2307/1971351
[11] A. Lanteri and A. J. Sommese, A vector bundle characterization of $p^n$, preprint.
[12] R. Lazarsfeld, Some applications of the theory of positive vector bundles, Complete intersections (Acireale, 1983), Lecture Notes in Mathematics, vol. 1092, Springer-Verlag, Berlin, 1984, pp. 29–61.
Mathematical Reviews (MathSciNet): MR86d:14013
Zentralblatt MATH: 0547.14009
Digital Object Identifier: doi:10.1007/BFb0099356
[13] S. Mori, Projective manifolds with ample tangent bundles, Ann. of Math. (2) 110 (1979), no. 3, 593–606.
Mathematical Reviews (MathSciNet): MR81j:14010
Zentralblatt MATH: 0423.14006
Digital Object Identifier: doi:10.2307/1971241
[14] S. Mori, Threefolds whose canonical bundles are not numerically effective, Ann. of Math. (2) 116 (1982), no. 1, 133–176.
Mathematical Reviews (MathSciNet): MR84e:14032
Zentralblatt MATH: 0557.14021
Digital Object Identifier: doi:10.2307/2007050
[15] S. Mori and H. Sumihiro, On Hartshorne's conjecture, J. Math. Kyoto Univ. 18 (1978), no. 3, 523–533.
Mathematical Reviews (MathSciNet): MR80j:14033
Zentralblatt MATH: 0422.14030
Project Euclid: euclid.kjm/1250522508
[16] S. Mukai, Problems on characterizations of the complex projective space, Birational Geometry of Algebraic Varieties-Open Problems, Katata, Japan, 1988, The 23th International Symposium Division of Mathematics, The Taniguchi Foundation, pp. 57–60.
[17] C. Okonek, M. Schneider, and H. Spindler, Vector bundles on complex projective spaces, Progress in Mathematics, vol. 3, Birkhauser, Boston, 1980.
Mathematical Reviews (MathSciNet): MR81b:14001
Zentralblatt MATH: 0438.32016
[18] A. J. Sommese, On manifolds that cannot be ample divisors, Math. Ann. 221 (1976), no. 1, 55–72.
Mathematical Reviews (MathSciNet): MR53:8503
Zentralblatt MATH: 0306.14006
Digital Object Identifier: doi:10.1007/BF01434964
[19] T. Peternell, A Characterization of $p^n$ by Vector Bundles, preprint.

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