Singularities of ball quotients

Details Singularities of ball quotients Singularities of ball quotients

2010-07-27

arxiv.org/abs/1007.4736v1

Mathematics

Algebraic Geometry

22 pages

Scientific paper

We prove a result on the singularities of ball quotients $\Gamma\backslash\CC
H^n$. 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 $(\Gamma\backslash\CC
H^n)^*$.

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