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This article is available for purchase or by subscription. See below.
Abstract
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We study the arithmeticity of the Couwenberg–Heckman–Looijenga lattices in
,
and show that they contain a nonarithmetic lattice in
which is not commensurable to the nonarithmetic Deligne–Mostow lattice in
.
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Keywords
complex hyperbolic geometry, nonarithmetic lattices,
hyperplane arrangements, complex reflection groups, Artin
groups
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Mathematical Subject Classification 2010
Primary: 22E40, 32M15
Secondary: 14N20, 20F36, 20F55
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Publication
Received: 21 January 2019
Revised: 30 April 2019
Accepted: 1 July 2019
Published: 23 April 2020
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