A new non-arithmetic lattice in PU(3,1)

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).

References in corpus (2)

• Quasi-arithmeticity of lattices in PO(n,1)
• Non-arithmetic ball quotients from a configuration of elliptic curves in an Abelian surface