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

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.

arXiv comment29 pages, AMS latex, discussion of coherent systems added to Section 1.6, minor revisions