A sharp cusp count for complex hyperbolic surfaces and related results
Differential Geometry
2014-11-10 v2 Algebraic Geometry
Geometric Topology
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.
Cite
@article{arxiv.1312.5368,
title = {A sharp cusp count for complex hyperbolic surfaces and related results},
author = {Gabriele Di Cerbo and Luca Fabrizio Di Cerbo},
journal= {arXiv preprint arXiv:1312.5368},
year = {2014}
}
Comments
Some changes according the comments of the referee. Final version