A sharp cusp count for complex hyperbolic surfaces and related results

Gabriele Di Cerbo; Luca F. Di Cerbo

doi:10.1007/s00013-014-0666-9

A sharp cusp count for complex hyperbolic surfaces and related results

Gabriele Di Cerbo, Luca F. Di Cerbo

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 Di Cerbo and Di Cerbo (see [5]), to study the geometry of cusped complex hyperbolic surfaces and their compactifications.

Original language	English (US)
Pages (from-to)	75-84
Number of pages	10
Journal	Archiv der Mathematik
Volume	103
Issue number	1
DOIs	https://doi.org/10.1007/s00013-014-0666-9
State	Published - Jul 2014

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Complex hyperbolic surfaces
Cusp count
Toroidal compactifications

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10.1007/s00013-014-0666-9

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title = "A sharp cusp count for complex hyperbolic surfaces and related results",

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 Di Cerbo and Di Cerbo (see [5]), to study the geometry of cusped complex hyperbolic surfaces and their compactifications.",

keywords = "Complex hyperbolic surfaces, Cusp count, Toroidal compactifications",

author = "Cerbo, {Gabriele Di} and {Di Cerbo}, {Luca F.}",

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AU - Cerbo, Gabriele Di

AU - Di Cerbo, Luca F.

PY - 2014/7

Y1 - 2014/7

N2 - 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 Di Cerbo and Di Cerbo (see [5]), to study the geometry of cusped complex hyperbolic surfaces and their compactifications.

AB - 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 Di Cerbo and Di Cerbo (see [5]), to study the geometry of cusped complex hyperbolic surfaces and their compactifications.

KW - Complex hyperbolic surfaces

KW - Cusp count

KW - Toroidal compactifications

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JO - Archiv der Mathematik

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A sharp cusp count for complex hyperbolic surfaces and related results

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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