A sharp cusp count for complex hyperbolic surfaces and related results

Published 18 Dec 2013 in math.DG, math.AG, and math.GT | (1312.5368v2)

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 [DiC12], to study the geometry of cusped complex hyperbolic surfaces and their compactifications.

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