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Some stable vector bundles with reducible theta divisors

Arnaud Beauville
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Abstract

Let C be a curve of genus g and L a line bundle of degree 2g on C . Let M be the kernel of the evaluation map from the trivial bundle with fibre H^0(C,L) into L . We show that when L is general enough, the rank g bundle M and its exterior powers are stable and admit a reducible theta divisor.

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Arnaud Beauville. 2002-09-09. Some stable vector bundles with reducible theta divisors. https://arxiv.org/abs/math/0209089

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