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arXiv · 1205.3667

Unramified Brauer group of the moduli spaces of $PGL_r({\mathbb C})$-bundles over curves

Indranil Biswas·Amit Hogadi·Yogish I. Holla
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Abstract

Let $X$ be an irreducible smooth complex projective curve of genus at least two. Let $N$ be a connected component of the moduli space of semistable principal ${\rm PGL}_r({\mathbb C})$- bundles over $X$; it is a normal unirational complex projective variety. We prove that the Brauer group of a desingularization of $N$ is trivial.

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Indranil Biswas, Amit Hogadi, Yogish I. Holla. 2012-05-16. Unramified Brauer group of the moduli spaces of $PGL_r({\mathbb C})$-bundles over curves. https://arxiv.org/abs/1205.3667

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