Geodesic
A new nonarithmetic lattice in PU(3,1)
Deraux, Martin1
1Institut Fourier, Université Grenoble Alpes, Gières, France
Algebraic and Geometric Topology, Tome 20 (2020) no. 2, pp. 925-963
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We study the arithmeticity of the Couwenberg–Heckman–Looijenga lattices in PU(n,1), and show that they contain a nonarithmetic lattice in PU(3,1) which is not commensurable to the nonarithmetic Deligne–Mostow lattice in PU(3,1).

DOI : 10.2140/agt.2020.20.925
Classification : 22E40, 32M15, 14N20, 20F36, 20F55
Keywords: complex hyperbolic geometry, nonarithmetic lattices, hyperplane arrangements, complex reflection groups, Artin groups

Deraux, Martin  1

1 Institut Fourier, Université Grenoble Alpes, Gières, France 
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Deraux, Martin. A new nonarithmetic lattice in PU(3,1). Algebraic and Geometric Topology, Tome 20 (2020) no. 2, pp. 925-963. doi: 10.2140/agt.2020.20.925

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