Mirror stabilizers for lattice complex hyperbolic triangle groups
Geometric Topology
2023-01-19 v1 Algebraic Geometry
Abstract
For each lattice complex hyperbolic triangle group, we study the Fuchsian stabilizer of a reprentative of each group orbit of mirrors of complex reflections. We give explicit generators for the stabilizers, and compute their signature in the sense of Fuchsian groups. For some of the triangle groups, we also find explicit pairs of complex lines such that the union of their stabilizers generate the ambient lattice.
Cite
@article{arxiv.2301.07387,
title = {Mirror stabilizers for lattice complex hyperbolic triangle groups},
author = {Martin Deraux},
journal= {arXiv preprint arXiv:2301.07387},
year = {2023}
}