Povall, Sam and Pratoussevitch, Anna ORCID: 0000-0003-2248-6382
(2020)
COMPLEX HYPERBOLIC TRIANGLE GROUPS OF TYPE [<i>m</i>, <i>m</i>, 0; 3, 3, 2].
CONFORMAL GEOMETRY AND DYNAMICS, 24 (3).
pp. 51-67.
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Abstract
In this paper we study discreteness of complex hyperbolic triangle groups of type $[m,m,0;3,3,2]$, i.e. groups of isometries of the complex hyperbolic plane generated by three complex reflections of orders $3,3,2$ in complex geodesics with pairwise distances $m,m,0$. For fixed $m,$ the parameter space of such groups is of real dimension one. We determine intervals in this parameter space that correspond to discrete and to non-discrete triangle groups.
Item Type: | Article |
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Additional Information: | 18 pages, 3 figures |
Uncontrolled Keywords: | Complex hyperbolic geometry, triangle groups |
Depositing User: | Symplectic Admin |
Date Deposited: | 02 Mar 2020 15:21 |
Last Modified: | 17 Oct 2023 22:38 |
DOI: | 10.1090/ecgd/348 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3076494 |