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

Elisha Falbel (1, 2) , Pierre-Vincent Koseleff (1, 2)

1 UPMC - Université Pierre et Marie Curie - Paris 6
2 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche

We 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.

Domaines: Mathématiques [math]

Elisha Falbel, Pierre-Vincent Koseleff. A circle of modular groups in PU(2,1). Mathematical Research Letters, 2002, 9 (3), pp.379-391. ⟨10.4310/MRL.2002.v9.n3.a11⟩. ⟨hal-01362286⟩