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Brauer group of moduli of Higgs bundles and connections

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arxiv 1609.00454 v1 pith:NG2BL7SE submitted 2016-09-02 math.AG math.CVmath.GT

Brauer group of moduli of Higgs bundles and connections

classification math.AG math.CVmath.GT
keywords groupbrauerbundlesconnectionshiggsmoduliaffinealgebraic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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