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A circle of modular groups in PU(2,1)

By Elisha Falbel and Pierre-Vincent Koseleff

Abstract

International audienceWe prove that there exists a circle of discrete and faithful embeddings of the triangle group of type (2,3,∞) in the automorphisms group of complex hyperbolic space. The proof is obtained by a construction of a fundamental domain using C-spheres

Topics: 57S30 (20H10 30F45 51M10), [ MATH ] Mathematics [math]
Publisher: HAL CCSD
Year: 2002
DOI identifier: 10.4310/MRL.2002.v9.n3.a11
OAI identifier: oai:HAL:hal-01362286v1
Provided by: Hal-Diderot
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