Skip to main content
SpringerLink
Log in

Ample vector bundles on singular varieties

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  • [E] R. Elkik, Rationalité des singularités canoniques. Invent. Math.64 (1981), 1–6

    Article  MATH  MathSciNet  Google Scholar 

  • [F1] T. Fujity, On polarized manifolds whose adjoint bundles are not semipositive. Advanced Studies in Pure Mathematics10, Algebraic Geometry, Sendai (1987), 161–178

    Google Scholar 

  • [F2] T. Fujita, On adjoint bundle of ample vector bundles. Proc. Conference in Algebraic Geometry, Bayreuth (1990)

  • [H] R. Hartshorne, Algebraic Geometry. Springer 1977

  • [K] Y. Kawamata, On the length of an extremal rational curve. Invent. Math.105 (1991), 609–611

    Article  MATH  MathSciNet  Google Scholar 

  • [KMM] Y. Kawamata, K. Matsuda, K. Matsuki, Introduction to the minimal model problem. Advanced Studies in Pure Mathematics 10, Algebraic Geometry, Sendai (1985)

    Google Scholar 

  • [L] R. Lazarsfeld, Some applications of the theory of positive vector bundles. Springer Lecture Notes in Mathematics 1092 (1984)

  • [M] S. Mori, Threefolds whose canonical bundles ar enot numerically effective. Ann. of Math.166 (1982), 133–176

    Article  Google Scholar 

  • [Ma] H. Maeda, Ramification divisors for branched coverings of ℙn. Math. Ann.288 (1990), 195–199

    Article  MATH  MathSciNet  Google Scholar 

  • [OSS] C. Okonek, M. Schneider, H. Spindler, Vector bundles on complex projective space. Birkauser, Boston, 1980

    Google Scholar 

  • [P1] T. Peternell, A characterization ofP n by vector bundles. Math. Z.205 (1990), 487–490

    Article  MATH  MathSciNet  Google Scholar 

  • [P2] T. Peternell, Ample vector bundles on Fano manifolds. International J. Math.2 (1991), 311–322

    Article  MATH  MathSciNet  Google Scholar 

  • [R] M. Reid, Canonical 3-folds. Géométrie Algébrique Angers, Sijthoff & Noordhoff, Alphen aan den Rijn (1979), pp 273–310

    Google Scholar 

  • [W] J.A. Wiśniewski, Length of extremal rays and generalized adjunction. Math. Z.200 (1989), 409–427

    Article  MathSciNet  Google Scholar 

  • [Y-Z] Y.G. Ye, Q. Zhang, ON ample vector bundles whose adjunction bundles are not numerically effective. Duke Math. J.60 (1990), 671–688

    Article  MATH  MathSciNet  Google Scholar 

  • [Z] Q. Zhang, On a conjecture of Lanteri-Sommese, preprint (1992)

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Missouri, 65211, Columbia, MO, USA

    Qi Zhang

Authors
  1. Qi Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, Q. Ample vector bundles on singular varieties. Math Z 220, 59–64 (1995). https://doi.org/10.1007/BF02572602

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02572602

Keywords

Search

Navigation