Singularities of ball quotients |
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Authors: | Niko Behrens |
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Institution: | 1. Institut für Algebraische Geometrie, Leibniz Universit?t Hannover, Welfengarten 1, 30167, Hannover, Germany
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Abstract: | We prove a result on the singularities of ball quotients ${\Gamma\backslash\mathbb{C}{H^n}}$ by an arithmetic group. More precisely, we show that a ball quotient has at most canonical singularities under certain restrictions on the dimension n and the underlying lattice. We also extend this result to the toroidal compactification. |
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