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2020 A new nonarithmetic lattice in ${\rm PU}(3,1)$
Martin Deraux
Algebr. Geom. Topol. 20(2): 925-963 (2020). DOI: 10.2140/agt.2020.20.925

Abstract

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).

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Martin Deraux. "A new nonarithmetic lattice in ${\rm PU}(3,1)$." Algebr. Geom. Topol. 20 (2) 925 - 963, 2020. https://doi.org/10.2140/agt.2020.20.925

Information

Received: 21 January 2019; Revised: 30 April 2019; Accepted: 1 July 2019; Published: 2020
First available in Project Euclid: 30 April 2020

zbMATH: 07195380
MathSciNet: MR4092315
Digital Object Identifier: 10.2140/agt.2020.20.925

Subjects:
Primary: 22E40, 32M15
Secondary: 14N20, 20F36, 20F55

Rights: Copyright © 2020 Mathematical Sciences Publishers

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