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Vector bundles on curves and theta functions

Arnaud Beauville
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Abstract

This is a (short) survey lecture on the "theta map" from the moduli space of SL_r bundles on a curve C to the projective space of r-th order theta functions on JC . Some recent results and a few open problems about that map are discussed.

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Arnaud Beauville. 2005-02-11. Vector bundles on curves and theta functions. https://arxiv.org/abs/math/0502179

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