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arXiv · 1007.4736

Singularities of ball quotients

Niko Behrens
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Abstract

We prove a result on the singularities of ball quotients $Γ\backslash\CC H^n$. More precisely, we show that a ball quotient has canonical singularities under certain restrictions on the dimension $n$ and the underlying lattice. We also extend this result to the toroidal compactification $(Γ\backslash\CC H^n)^*$.

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Niko Behrens. 2010-07-27. Singularities of ball quotients. https://arxiv.org/abs/1007.4736

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