A sharp cusp count for complex hyperbolic surfaces and related results |
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| Authors: | Gabriele Di Cerbo Luca F. Di Cerbo |
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| Affiliation: | 1. Department of Mathematics, Columbia University, New York, NY, 10027, USA
2. Department of Mathematics, Duke University, Durham, NC, 27708-0320, USA
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| Abstract: | We derive a sharp cusp count for finite volume complex hyperbolic surfaces which admit smooth toroidal compactifications. We use this result, and the techniques developed in Di Cerbo and Di Cerbo (see [5]), to study the geometry of cusped complex hyperbolic surfaces and their compactifications. |
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