The Brauer group of desingularization of moduli spaces of vector bundles over a curve

Let C be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic zero. For a fixed line bundle L on C, let M_C(r,L) be the coarse moduli space of semistable vector bundles E over C of rank r and determinant L. We show that the Braue...

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Bibliographic Details
Published in:arXiv.org 2012-05
Main Authors: Biswas, Indranil, Hogadi, Amit, Yogish I Holla
Format: Article
Language:English
Subjects:
Bundles
Bundling
Online Access:Get full text
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Summary:Let C be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic zero. For a fixed line bundle L on C, let M_C(r,L) be the coarse moduli space of semistable vector bundles E over C of rank r and determinant L. We show that the Brauer group of any desingularization of M_C(r, L)$ is trivial.
ISSN:2331-8422