Fundamental group of locally symmetric varieties

Mathematics – Algebraic Geometry

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Scientific paper

Take a bounded symmetric domain $D$ and an arithmetic subgroup $\Gamma$ of
${\rm Aut}(D)$. Take the quotient $D/\Gamma$, compactify and resolve the
singularities. We study the fundamental group of the compact complex manifolds
that result from this procedure, and in particular the case of Siegel modular
threefolds.

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