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manuscripta mathematica

, Volume 110, Issue 3, pp 343–349 | Cite as

Some stable vector bundles with reducible theta divisor

  • Arnaud Beauville

Abstract.

 Let C be a curve of genus g and L a line bundle of degree 2g on C. Let ML be the kernel of the evaluation map \(\). We show that when L is general enough, the rank g bundle ML and its exterior powers are stable, but admit a reducible theta divisor.

Keywords

Vector Bundle Line Bundle Stable Vector Bundle Exterior Power Theta Divisor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Arnaud Beauville
    • 1
  1. 1.Institut Universitaire de France & Laboratoire J.-A. Dieudonné, UMR 6621 du CNRS, Université de Nice, Parc Valrose, F-06108 Nice Cedex 02, France. e-mail: beauville@math.unice.frFR

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