Unramified Brauer group of the moduli spaces of $PGL r{mathbb C}$-bundles over curvesReport as inadecuate



 Unramified Brauer group of the moduli spaces of $PGL r{mathbb C}$-bundles over curves


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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 ${ m PGL} r{\mathbb C}$- bundles over $X$; it is a normal unirational complex projective variety. We prove that the Brauer group of a desingularization of $N$ is trivial.



Author: Indranil Biswas; Amit Hogadi; Yogish I. Holla

Source: https://archive.org/







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