Let X be an irreducible smooth complex projective curve of genus g, with g ≥ 2. Let N be a connected component of the moduli space of semistable principal PGLr (ℂ)-bundles over X; it is a normal unirational complex projective variety. We prove that the Brauer group of a desingularization of N is trivial.
@article{bwmeta1.element.doi-10_2478_s11533-014-0403-4,
author = {Indranil Biswas and Amit Hogadi and Yogish Holla},
title = {Unramified Brauer group of the moduli spaces of PGLr($\mathbb{C}$)-bundles over curves},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {1157-1163},
zbl = {1320.14052},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0403-4}
}
Indranil Biswas; Amit Hogadi; Yogish Holla. Unramified Brauer group of the moduli spaces of PGLr(ℂ)-bundles over curves. Open Mathematics, Tome 12 (2014) pp. 1157-1163. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0403-4/
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