Skip to main content
Log in

On the degree of the discriminant locus of a smooth hyperplane section of a threefold with non negative Kodaira dimension

  • 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

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

Instant access to the full article PDF.

References

  1. W.Barth, C.Peters and A.van de Ven, Compact Complex surfaces. Berlin-Heidelberg-New York 1984.

  2. J. P. Bourguignon, Premières formes de Chern des varietès Kähleriennes compactes. Sem. Bourbaki, Exposè 507, Nov. 1977, LNM710, 1–21, Berlin-Heidelberg-New York 1979.

    Google Scholar 

  3. P.Deligne et N.Katz, Groupes de Monodromie in Geometrie Algebrique. LNM340, Berlin-Heidelberg-New York 1973.

  4. W.Fulton, Intersection Theory. Berlin-Heidelberg-New York 1984.

  5. A. Lanteri, On the class of a projective algebraic surface. Arch. Math.45, 79–85 (1985).

    Google Scholar 

  6. E. L.Livorni and A.Sommese, Threefold of Non-negative Kodaira Dimension with Sectional genus Less Than or Equal to 15. To appear on Ann. Scuola Norm. Sup. Pisa.

  7. Y. Miyaoka, On the Chern numbers of surfaces of general type, Invent. Math.42, 225–237 (1977).

    Google Scholar 

  8. Y.Miyaoka, The Pseudo-effectivity of 3c 2c 21 for Varieties with Numerically Effective Canonical Class. Preprint.

  9. A. J. Sommese, Hyperplane sections. Proc. 1st Midwest Algebraic Geometry Conference, Chicago Circle, May 1980, LNM862, 232–271, Berlin-Heidelberg-New York 1981.

    Google Scholar 

  10. A. J. Sommese, On the Minimality of Hyperplane sections of Projective Threefolds. J. Reine Angew. Math.329, 16–41 (1981).

    Google Scholar 

  11. S. T. Yau, Calabi's conjecture and some new results in algebraic geometry. Proc. Natl. Acad. Sci. USA74, 1789–1799 (1977).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Biancofiore, A. On the degree of the discriminant locus of a smooth hyperplane section of a threefold with non negative Kodaira dimension. Arch. Math 48, 538–542 (1987). https://doi.org/10.1007/BF01190363

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01190363

Keywords

Navigation