A new non-arithmetic lattice in PU(3,1)
Algebraic Geometry
2020-04-29 v5 Differential Geometry
Geometric Topology
Abstract
We study the arithmeticity of the Couwenberg-Heckman-Looijenga lattices in PU(n,1), and show that they contain a non-arithmetic lattice in PU(3,1) which is not commensurable to the non-arithmetic Deligne-Mostow lattice in PU(3,1).
Cite
@article{arxiv.1710.04463,
title = {A new non-arithmetic lattice in PU(3,1)},
author = {Martin Deraux},
journal= {arXiv preprint arXiv:1710.04463},
year = {2020}
}