Singularities of Brill-Noether loci for vector bundles on a curve

preprint2012arXivOpen access

Abstract

In this paper we consider the singularities of the varieties parameterizing stable vector bundles of fixed rank and degree with sections on a smooth curve of genus at least two. In particular, we extend results of Y. Laszlo, and of the second author, regarding the singularities of generalized theta divisors.

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