A sharp cusp count for complex hyperbolic surfaces and related results

Gabriele Di Cerbo, Luca F. Di Cerbo

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)75-84
Number of pages10
JournalArchiv der Mathematik
Volume103
Issue number1
DOIs
StatePublished - Jul 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Complex hyperbolic surfaces
  • Cusp count
  • Toroidal compactifications

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