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Brauer group of moduli of Higgs bundles and connections (1609.00454v1)

Published 2 Sep 2016 in math.AG, math.CV, and math.GT

Abstract: Given a compact Riemann surface $X$ and a semisimple affine algebraic group $G$ defined over $\mathbb C$, there are moduli spaces of Higgs bundles and of connections associated to $(X,\, G)$. We compute the Brauer group of the smooth locus of these varieties.

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