From geometry to arithmetic of compact hyperbolic Coxeter polytopes
Geometric Topology
2022-03-10 v5 Group Theory
Metric Geometry
Number Theory
Abstract
We establish some geometric constraints on compact Coxeter polytopes in hyperbolic spaces and show that these constraints can be a very useful tool for the classification problem of reflective anisotropic Lorentzian lattices and cocompact arithmetic hyperbolic reflection groups.
Keywords
Cite
@article{arxiv.2003.11944,
title = {From geometry to arithmetic of compact hyperbolic Coxeter polytopes},
author = {Nikolay Bogachev},
journal= {arXiv preprint arXiv:2003.11944},
year = {2022}
}
Comments
27 pages, 2 figures, 4 tables; substantial revision of the introduction