Complex hyperbolic cone structures on the configuration spaces

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The space of marked n distinct points on the complex projective line up to projective transformations will be called a configuration space. There are two families of complex hyperbolic structures on the configuration space constructed by Deligne Mostow and by Thurston. We review that these families are the same, and then exhibit the families for n = 4, 5 in constrast with the deformation theory of real hyperbolic cone 3-manifolds.

Original languageEnglish
Pages (from-to)149-163
Number of pages15
JournalRendiconti dell'Istituto di Matematica dell'Universita di Trieste
Volume32
Publication statusPublished - 2001 Jan 1
Externally publishedYes

Keywords

  • Complex hyperbolic geometry
  • Cone manifolds
  • Configuration space

ASJC Scopus subject areas

  • Mathematics(all)

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