Some stable vector bundles with reducible theta divisor |
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| Authors: | Arnaud Beauville |
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| Institution: | (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 |
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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.
Received: 16 September 2002 / Revised version: 29 October 2002 Published online: 14 February 2003
Mathematics Subject Classification (2000): 14H60 |
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