Skip to main content
SpringerLink
Log in

On the degree of the Gauss mapping of a submanifold of an Abelian variety

  • Published:
Commentarii Mathematici Helvetici

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

  • [G+L]T. Gaffney andR. Lazarsfeld, On the ramification of branched coverings of ℙn, Inv. Math.,59 (1980), 53–58.

    Article  MathSciNet  Google Scholar 

  • [H1]R. Hartshorne,Ample vector bundles on curves, Nagoya Math. Jour.,43 (1971), 73–89.

    MathSciNet  Google Scholar 

  • [H2]R. Hartshorne,Algebraic Geometry, Springer-Verlag (1977).

  • [H+M]A. Howard andY. Matsushima, Weakly ample vector bundles and submanifolds of complex tori,Rencontre sur l'analyse complexe à plusieurs variables et les systèmes subdeterminés, (Texts Conf., University Montréal, Quebec 1974), 65–104.

  • [L]R. Lazarsfeld,A Barth type theorem for branched coverings of projective space, Math. Ann. 249 (1980), 153–162.

    Article  MathSciNet  Google Scholar 

  • [N+S]T. Nagano andB. Smyth,Periodic minimal surfaces and Weyl groups, Acta Mathematics,145 (1980), 1–27.

    Article  MathSciNet  Google Scholar 

  • [R]Z. Ran,The structure of Gauss-like maps, preprint.

  • [R+VdV]R. Remmert andA. Van de Ven,Uber holomorphe Abbildungen projektiv-algebraischer Manningfaltigkeiten auf komplexe Räume, Math. Ann.142 (1960) 453–486.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Notre Dame, Notre Dame, 46556, Indiana, U.S.A.

    Brian Smyth & Andrew John Sommese

Authors
  1. Brian Smyth
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Andrew John 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

Smyth, B., Sommese, A.J. On the degree of the Gauss mapping of a submanifold of an Abelian variety. Commentarii Mathematici Helvetici 59, 341–346 (1984). https://doi.org/10.1007/BF02566355

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566355

Keywords

Search

Navigation