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arXiv · 1109.4886

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

Indranil Biswas·Amit Hogadi·Yogish I. Holla
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Abstract

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.

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Indranil Biswas, Amit Hogadi, Yogish I. Holla. 2012-05-10. The Brauer group of desingularization of moduli spaces of vector bundles over a curve. https://arxiv.org/abs/1109.4886

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