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

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

2007-10-12

arxiv.org/abs/0710.2480v1

Mathematics

Algebraic Geometry

25 pages, AMS latex

Scientific paper

In these notes 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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