On the volumes of complex hyperbolic manifolds with cusps
Algebraic Geometry
2007-05-23 v1 Geometric Topology
Abstract
We study the problem of bounding the number of cusps of a complex hyperbolic manifold in terms of its volume. Applying algebro-geometric methods using Mumford's work on toroidal compactifications and its generalization due to N. Mok and W.-K. To, we get a bound which is considerably better than those obtained previously by methods of geometric topology.
Cite
@article{arxiv.math/0407310,
title = {On the volumes of complex hyperbolic manifolds with cusps},
author = {Jun-Muk Hwang},
journal= {arXiv preprint arXiv:math/0407310},
year = {2007}
}
Comments
to appear in International Journal of Mathematics