A new nonarithmetic lattice in PU(3,1)

Deraux, Martin

doi:10.2140/agt.2020.20.925

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

This article is available for purchase or by subscription. See below.

A new nonarithmetic lattice in ${\rm PU}(3,1)$

Martin Deraux

Algebraic & Geometric Topology 20 (2020) 925–963

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 $PU (3, 1)$ .

PDF Access Denied

We have not been able to recognize your IP address 18.188.20.56 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords

complex hyperbolic geometry, nonarithmetic lattices, hyperplane arrangements, complex reflection groups, Artin groups

Mathematical Subject Classification 2010

Primary: 22E40, 32M15

Secondary: 14N20, 20F36, 20F55

References

Publication

Received: 21 January 2019

Revised: 30 April 2019

Accepted: 1 July 2019

Published: 23 April 2020

Authors

Martin Deraux
Institut Fourier Université Grenoble Alpes Gières France

Volume 20, issue 2 (2020)