On the volumes of complex hyperbolic manifolds with cusps

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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.
to appear in International Journal of Mathematics

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Algebraic Geometry, Geometric Topology, 32Q45

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http://salesiana.dossiersoluciones.com/handle/123456789/71930

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407310
 http://arxiv.org/abs/math/0407310

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arXiv