A sharp cusp count for complex hyperbolic surfaces and related results
classification
🧮 math.DG
math.AGmath.GT
keywords
complexhyperbolicsurfacescompactificationscountcuspsharpadmit
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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 [DiC12], to study the geometry of cusped complex hyperbolic surfaces and their compactifications.
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