On faces of quasi-arithmetic Coxeter polytopes
Geometric Topology
2020-11-03 v4 Group Theory
Metric Geometry
Number Theory
Abstract
We prove that each lower-dimensional face of a quasi-arithmetic Coxeter polytope, which happens to be itself a Coxeter polytope, is also quasi-arithmetic. We also provide a sufficient condition for a codimension face to be actually arithmetic, as well as a few computed examples.
Keywords
Cite
@article{arxiv.2002.11445,
title = {On faces of quasi-arithmetic Coxeter polytopes},
author = {Nikolay Bogachev and Alexander Kolpakov},
journal= {arXiv preprint arXiv:2002.11445},
year = {2020}
}
Comments
14 pages, 3 figures; ancillary files available at https://github.com/sashakolpakov/plof