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Singularities of Brill‐Noether loci for vector bundles on a curve
Author(s) -
CasalainaMartin Sebastian,
Bigas Montserrat Teixidor i
Publication year - 2011
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200910093
Subject(s) - mathematics , gravitational singularity , vector bundle , genus , noether's theorem , rank (graph theory) , pure mathematics , combinatorics , mathematical analysis , lagrangian , botany , biology
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