Singularities of Brill-Noether loci for vector bundles on a curve
Algebraic Geometry
2012-07-05 v2
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.
Keywords
Cite
@article{arxiv.0710.2480,
title = {Singularities of Brill-Noether loci for vector bundles on a curve},
author = {Sebastian Casalaina-Martin and Montserrat Teixidor i Bigas},
journal= {arXiv preprint arXiv:0710.2480},
year = {2012}
}
Comments
29 pages, AMS latex, discussion of coherent systems added to Section 1.6, minor revisions