A sharp cusp count for complex hyperbolic surfaces and related results

2013/12/18 by Gabriele Di Cerbo, Di Cerbo, Gabriele, Luca Fabrizio Di Cerbo +1
Mathematics · #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #math.AG #math.DG #math.GT

paper · pdf · doi:10.48550/arxiv.1312.5368

Some changes according the comments of the referee. Final version

arxiv created 2014/11/06 · arxiv updated 2014/11/10

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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