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Brauer group of moduli of torsors under Bruhat-Tits group scheme $\mathcal{G}$ over a curve

Published 24 Sep 2013 in math.AG | (1309.6096v2)

Abstract: Let $X$ be a smooth projective curve over the complex numbers. We compute the Brauer group of the moduli stack of Bruhat-Tits group scheme $\mathcal{G}$-torsors on $X$. When $g(X) \geq 3$ we compute the Brauer group of the regularly stable locus of the coarse moduli space of semi-stable $\mathcal{G}$-torsors.

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