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arxiv: 1501.00053 · v3 · pith:TJZ43FI3new · submitted 2014-12-31 · 🧮 math.AG

Fundamental groups of toroidal compactifications

classification 🧮 math.AG
keywords fundamentalgammatoroidalarithmeticassumingbettiboundscompactification
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We compute the fundamental group of a toroidal compactification of a Hermitian locally symmetric space $D/\Gamma$, without assuming either that $\Gamma$is neat or that it is arithmetic. We also give bounds for the first Betti number.

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