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Some stable vector bundles with reducible theta divisor

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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.

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Authors and Affiliations

  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.fr, , , , , , FR

    Arnaud Beauville

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  1. Arnaud Beauville
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Received: 16 September 2002 / Revised version: 29 October 2002 Published online: 14 February 2003

Mathematics Subject Classification (2000): 14H60

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Beauville, A. Some stable vector bundles with reducible theta divisor. manuscripta math. 110, 343–349 (2003). https://doi.org/10.1007/s00229-002-0341-5

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  • DOI: https://doi.org/10.1007/s00229-002-0341-5

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