Skip to main content
SpringerLink
Log in

Ample and spanned vector bundles of minimal curve genus

  • Published:
Archiv der Mathematik 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

  1. E. Ballico, On vector bundles on 3-folds with sectional genus 1. Trans. Amer. Math. Soc.324, 135–147 (1991).

    Google Scholar 

  2. M. C.Beltrametti, M.Schneider and A. J.Sommese, Chern inequalities and spannedness of adjoint bundles. To appear in: Proceedings of the Hirzebruch 65 Conference, Bar-Han, 1993.

  3. M. C.Beltrametti and A. J.Sommese, The adjunction theory of complex projective varieties. Exposition Math.16. Berlin-New York 1995.

  4. T. Fujita, On the hyperplane section principle of Lefschetz. J. Math. Soc. Japan32, 153–169 (1980).

    Google Scholar 

  5. T. Fujita, Ample vector bundles of smallc 1-sectional genera. J. Math. Kyoto Univ.29, 1–16 (1989).

    Google Scholar 

  6. T.Fujita, On adjoint bundles of ample vector bundles. In: Complex algebraic varieties. Proc. Bayreuth 1990, K. Hulek, T. Peternell, M. Schneider and F.-O. Schreyer, eds., LNM1507, 105–112. Berlin-Heidelberg-New York 1992.

  7. W.Fulton, Intersection theory. Ergeb. Math. Grenzgeb. (3), 2. Berlin-Heidelberg-New York-Tokyo 1984.

  8. W.Fulton and R.Lazarsfeld, Connectivity and its applications in algebraic geometry. In: Algebraic geometry, A. Libgober and P. Wagreich, eds., LNM862, 26–92. Berlin-Heidelberg-New York 1981.

  9. Y.Kawamata, K.Matsuda and K.Matsuki, Introduction to the minimal model problem. In: Algebraic geometry, Sendai, 1985, T. Oda, ed., Adv. Stud. Pure Math.10, 283–360. Tokyo 1987.

  10. A. Lanteri andH. Maeda, Adjoint bundles of ample and spanned vector bundles on algebraic surfaces. J. Reine Angew. Math.433, 181–199 (1992).

    Google Scholar 

  11. A. Lanteri andH. Maeda, Ample vector bundles with sections vanishing on projective spaces or quadrics. Internat. J. Math.6, 587–600 (1995).

    Google Scholar 

  12. A. Lanteri andM. Palleschi, Some characterizations of projective bundles and projective spaces. Geom. Dedicata14, 203–208 (1983).

    Google Scholar 

  13. S.Mukai, Polarized K3 surfaces of genus 18 and 20. In: Complex projective geometry, G. Ellingsrud, C. Peskine et al., eds., London Math. Soc. Lecture Note Ser.179, 264–276. Cambridge 1992.

  14. B.Shiffman and A. J.Sommese, Vanishing theorems on complex manifolds. Progr. Math.56. Boston-Basel-Stuttgart 1985.

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

    Google Scholar 

  16. A. J. Sommese, Hyperplane sections of projective surfaces I —The adjunction mapping. Duke Math. J.46, 377–401 (1979).

    Google Scholar 

  17. A. J. Sommese, On the nonemptiness of the adjoint linear system of a hyperplane section of a threefold. J. Reine Angew. Math.402, 211–220 (1989).

    Google Scholar 

  18. J. A. Wisniewski, Length of extremal rays and generalized adjunction. Math. Z.200, 409–427 (1989).

    Google Scholar 

  19. Y.-G. Ye andQ. Zhang, On ample vector bundles whose adjunction bundles are not numerically effective. Duke Math. J.60, 671–687 (1990).

    Google Scholar 

Download references

Author information

Author notes

  1. Antonio Lanteri

    Present address: Dipartimento di Matematica “F. Enriques” Universitá, Via C. Saldini, 50, I-20133, Milano, Italy

  2. Hidetoshi Maeda

    Present address: Graduate School of Mathematics, Kyushu University, 4-2-1 Ropponmatsu, Chuo-ku, 810, Fukuoka, Japan

  3. Andrew J. Sommese

    Present address: Department of Mathematics, University of Notre Dame, 46556, Notre Dame, Indiana, USA

Authors and Affiliations

    Authors
    1. Antonio Lanteri
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. Hidetoshi Maeda
      View author publications

      You can also search for this author in PubMed Google Scholar

    3. Andrew J. Sommese
      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

    Lanteri, A., Maeda, H. & Sommese, A.J. Ample and spanned vector bundles of minimal curve genus. Arch. Math 66, 141–149 (1996). https://doi.org/10.1007/BF01273345

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01273345

    Keywords

    Search

    Navigation