We describe an experimental method for studying the combinatorics of Dirichlet domains in the complex hyperbolic plane based on
numerical and graphical techniques. We apply our techniques to the complex reflection groups that appear in Mostow's seminal paper on the subject and list a number of corrections to the combinatorics of the Dirichlet domains.
Publié le : 2005-05-14
Classification:
Complex hyperbolic geometry,
Dirichlet fundamental polyhedron,
nonarithmetic lattices,
22E40,
32Q45,
51M20
@article{1136926977,
author = {Deraux, Martin},
title = {Dirichlet Domains for the Mostow Lattices},
journal = {Experiment. Math.},
volume = {14},
number = {1},
year = {2005},
pages = { 467-490},
language = {en},
url = {http://dml.mathdoc.fr/item/1136926977}
}
Deraux, Martin. Dirichlet Domains for the Mostow Lattices. Experiment. Math., Tome 14 (2005) no. 1, pp. 467-490. http://gdmltest.u-ga.fr/item/1136926977/