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

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...

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Bibliographic Details
Published in:Mathematische Nachrichten 2011-10, Vol.284 (14-15), p.1846-1871
Main Authors: Casalaina-Martin, Sebastian, Bigas, Montserrat Teixidor i
Format: Article
Language:English
Subjects:
14H60
Brill-Noether
MSC
theta divisor
Vector bundle
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Summary: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
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.200910093