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

Abstract

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. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim