Skip to main content
Log in

Bounding cohomology groups of vector bundles on ℙ n

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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.

Institutional subscriptions

References

  1. Barth, W.: Some properties of stable rank-2 vector bundles onP n . Math. Ann.226, 125–150 (1977)

    Google Scholar 

  2. Barth, W., Hulek, K.: Monads and moduli of vector bundles. Manuscr. math.25, 323–347 (1978)

    Google Scholar 

  3. Barth, W., Van de Ven, A.: A decomposability criterion for algebraic 2-bundles on projective spaces. Invent. math.25, 91–106 (1974)

    Google Scholar 

  4. Fulton, W.: Ample vector bundles, Chern classes, and numerical criteria. Invent. math.32, 171–178 (1976)

    Google Scholar 

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

    Google Scholar 

  6. Hartshorne, R.: Algebraic Geometry. Berlin, Heidelberg, New York: Springer 1977

    Google Scholar 

  7. Hartshorne, R.: Algebraic vector bundles on projective spaces. A problem list. Topology18, 117–128 (1979)

    Google Scholar 

  8. Hosoh, T.: Ample vector bundles on a rational surface. Nagoya Math. J.59, 135–148 (1975)

    Google Scholar 

  9. Kleiman, S.: Les théorèmes de finitude pour le foncteur Picard, S.G.A. 6, exposé 13, Lecture Notes in Mathematics 225, Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  10. Maruyama, M.: Moduli of stable sheaves I. J. Math. Kyoto Univ.17, 91–126 (1977)

    Google Scholar 

  11. Mumford, D.: Lectures on curves on an algebraic surface. Annals of Math. Studies Vol.59. Princeton Univ. Press 1966

  12. Schneider, M.: Stabile Vektorraumbündel vom Rang 2 auf der projektiven Ebene. Nachr. Akad. Wiss. Göttingen, Math.-Phys. Kl.II1976, 83–86

  13. Spindler, H.: Der Satz von Grauert-Mülich für beliebige semistabile holomorphe Vektorbündel über demn-dimensionalen komplex-projektiven Raum. Math. Ann.243, 131–141 (1979)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Elencwajg, G., Forster, O. Bounding cohomology groups of vector bundles on ℙ n . Math. Ann. 246, 251–270 (1980). https://doi.org/10.1007/BF01371047

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01371047

Keywords

Navigation