Notes on complex hyperbolic triangle groups of type (m, n, ∞)

Author:

Sun Li-Jie1

Affiliation:

1. Department of Mathematical and Computing Sciences , Tokyo Institute of Technology , 2-12-1 O-okayama Meguro-ku , Tokyo 152-8552 Japan

Abstract

Abstract In this paper we investigate the discreteness of complex hyperbolic triangle groups of type (m, n, ∞). For the special case n = ∞, more explicit conclusions are given.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Reference17 articles.

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2. W. M. Goldman, J. R. Parker, Complex hyperbolic ideal triangle groups. J. Reine Angew. Math. 425 (1992), 71–86. MR1151314 Zbl 0739.53055

3. G. H. Hardy, E. M. Wright, An introduction to the theory of numbers. Oxford Univ. Press 2008. MR2445243 Zbl 1159.11001

4. S. Kamiya, Remarks on complex hyperbolic triangle groups. In: Complex analysis and its applications, volume 2 of OCAMI Stud., 219–223, Osaka Munic. Univ. Press, Osaka 2007. MR2405722 Zbl 1144.51002

5. S. Kamiya, J. R. Parker, J. M. Thompson, Notes on complex hyperbolic triangle groups. Conform. Geom. Dyn. 14 (2010), 202–218. MR2718204 Zbl 1220.22004

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1. Discreteness of ultra‐parallel complex hyperbolic triangle groups of type [m1,m2,0];Journal of the London Mathematical Society;2019-05-14

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