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 with ∧r E = L. We show that the Brauer group of any desingularization of M C(r; L) is trivial.
@article{bwmeta1.element.doi-10_2478_s11533-012-0071-1,
author = {Indranil Biswas and Amit Hogadi and Yogish Holla},
title = {The Brauer group of desingularization of moduli spaces of vector bundles over a curve},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {1300-1305},
zbl = {1281.14028},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0071-1}
}
Indranil Biswas; Amit Hogadi; Yogish Holla. The Brauer group of desingularization of moduli spaces of vector bundles over a curve. Open Mathematics, Tome 10 (2012) pp. 1300-1305. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0071-1/
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