New non-arithmetic complex hyperbolic lattices II
Geometric Topology
2020-05-01 v5 Algebraic Geometry
Abstract
We describe a general procedure to produce fundamental domains for complex hyperbolic triangle groups, a class of groups that contains a representative of the commensurability class of every known non-arithmetic lattice in . We discuss several commensurability invariants for lattices, and show that some triangle groups yield new commensurability classes, bringing the number of known non-arithmetic commensurability classes to 22.
Cite
@article{arxiv.1611.00330,
title = {New non-arithmetic complex hyperbolic lattices II},
author = {Martin Deraux and John R. Parker and Julien Paupert},
journal= {arXiv preprint arXiv:1611.00330},
year = {2020}
}