61 citations · 148 across the 12 of their papers we have counts for
5 papers · 1 filter
Torsion in 1-cusped Picard modular groups
Martin Deraux, Mengmeng Xu
We present a systematic effective method to construct coarse fundamental domains for the action of the Picard modular groups where has class…
Volumes of 3-ball quotients as intersection numbers
Martin Deraux
We give an explicit description of the 3-ball quotients constructed by Couwenberg-Heckman-Looijenga, and deduce the value of their orbifold Euler characteristics. For each lattice,…
A new non-arithmetic lattice in PU(3,1)
Martin Deraux
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 ball quotients from a configuration of elliptic curves in an Abelian surface
Martin Deraux
We construct some non-arithmetic ball quotients as branched covers of a quotient of an Abelian surface by a finite group, and compare them with lattices that previously appear in t…
Non-arithmetic lattices and the Klein quartic
Martin Deraux
We give an algebro-geometric construction of some of the non-arithmetic ball quotients constructed by the author, Parker and Paupert. The new construction reveals a relationship be…