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arxiv: 1609.00454 · v1 · pith:NG2BL7SEnew · submitted 2016-09-02 · 🧮 math.AG · math.CV· math.GT

Brauer group of moduli of Higgs bundles and connections

classification 🧮 math.AG math.CVmath.GT
keywords groupbrauerbundlesconnectionshiggsmoduliaffinealgebraic
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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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