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arxiv: 0710.2480 · v2 · pith:RJX3PAGTnew · submitted 2007-10-12 · 🧮 math.AG

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

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keywords singularitiesbundlescurvevectorauthorbrill-noetherconsiderdegree
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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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