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

DOI10.1007/S12044-022-00673-8arXiv1309.6096MaRDI QIDQ6245050

Yashonidhi Pandey

Publication date: 24 September 2013

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 $mathcalG$-torsors on $X$. When $g(X)geq3$ we compute the Brauer group of the regularly stable locus of the coarse moduli space of semi-stable $mathcalG$-torsors.

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Brauer groups of schemes (14F22) Stacks and moduli problems (14D23)

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