Skip to main content
Log in

Théorèmes d'annulation sur certaines variétés projectives

  • Published:
Commentarii Mathematici Helvetici

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Barth, W.,Transplanting cohomology classes in complex projective space, Amer. J. Math.92 (1970) 951–967.

    Article  MathSciNet  MATH  Google Scholar 

  2. Demailly, J. P.,Vanishing theorems for tensor powers of an ample vector bundle, Invent. Math.91 (1988) 203–220.

    Article  MathSciNet  MATH  Google Scholar 

  3. Demailly, J. P., Peternell, Th. andSchneider, M.,Compact complex manifolds with numerically effective tangent bundles. J. Algebr. Geom.3, No. 2 (1994) 295–345.

    MathSciNet  MATH  Google Scholar 

  4. Ein, L. andLazarsfeld, R.,Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension, Invent. Math.111 (1993) 51–67.

    Article  MathSciNet  MATH  Google Scholar 

  5. Faltings, G.,Verschwindungssätz und Untermannigfaltigkeiten kleiner Kodimension des projektiven Raums, J. reine angew. Math326 (1981) 136–151.

    MathSciNet  MATH  Google Scholar 

  6. Griffiths, P. A.,Hermitian differential geometry, Chern classes and positive vector bundles, in:Global analysis, papers in honor of K. Kodaira, Princeton Univ. Press, Princeton, 1969, 185–251.

    Google Scholar 

  7. Hartshorne, R.,Ample subvarieties of algebraic varieties, LN 156, Springer, 1970.

  8. Hartshorne, R.,Cohomology of non-complete algebraic varieties, Compositio Math.23 (1971) 257–264.

    MathSciNet  MATH  Google Scholar 

  9. Le Potier, J.,Annulation de la cohomologie à valeurs dans un fibré vectoriel holomorphe positif de rang quelconque, Math. Ann.218 (1975) 35–53.

    Article  MathSciNet  MATH  Google Scholar 

  10. Le Potier, J.,Cohomologie de la Grassmannienne à valeurs dans les puissances extérieures et symétriques du fibré universel, Math. Ann.266 (1977) 257–270.

    Article  Google Scholar 

  11. Manivel, L.,Théorèmes d'annulation pour les fibrés associès à un fibré ample, Ann. Sc. N. Sup. Pisa19 (1992) 515–565.

    MathSciNet  MATH  Google Scholar 

  12. Manivel, L.,Un théorème d'annulation pour les puissances extérieures d'un fibré ample. J. reine angew. Math.422 (1991) 91–116.

    MathSciNet  MATH  Google Scholar 

  13. Oda, T.,Convex bodies and algebraic geometry, an introduction to the theory of toric varieties, Springer-Verlag, Berlin Heidelberg, 1988.

    MATH  Google Scholar 

  14. Peternell, Th., Le Potier, J. andSchneider, M.,Direct images of sheaves of differentials and the Atiyah class, Math. Z.196 (1987) 75–87.

    Article  MathSciNet  MATH  Google Scholar 

  15. Peternell, Th., Le Potier, J. andSchneider, M.,Vanishing theorems, linear and quadratic normality, Invent Math.87 (1987) 573–586.

    Article  MathSciNet  MATH  Google Scholar 

  16. Schneider, M. andZintl, J.,The theorem of Barth-Lefschetz as a consequence of Le Potier's vanishing theorem, Manuscripta Math.80 (1993) 259–263.

    Article  MathSciNet  MATH  Google Scholar 

  17. Sommese, A. J.,Submanifolds of abelian varieties, Math. Ann.233 (1978) 229–256.

    Article  MathSciNet  MATH  Google Scholar 

  18. Sumihiro, H., A vanishing theorem for symmetric tensors of 2-bundles on ℙn and its applications, Japanese J. of Math.20 (1994) 269–278.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Manivel, L. Théorèmes d'annulation sur certaines variétés projectives. Commentarii Mathematici Helvetici 71, 402–425 (1996). https://doi.org/10.1007/BF02566427

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566427

Navigation