New non-arithmetic complex hyperbolic lattices II

Deraux, Martin; Parker, John R.; Paupert, Julien

doi:10.1307/mmj/1592532044

New non-arithmetic complex hyperbolic lattices II

Deraux, Martin; Parker, John R.; Paupert, Julien

Authors

Martin Deraux

Professor John Parker j.r.parker@durham.ac.uk
Professor

Julien Paupert

Abstract

We describe a general procedure to produce fundamental domains for complex hyperbolic triangle groups. This allows us to produce new nonarithmetic lattices, bringing the number of known nonarithmetic commensurability classes in PU(2,1) to 22.

Citation

Deraux, M., Parker, J. R., & Paupert, J. (2021). New non-arithmetic complex hyperbolic lattices II. Michigan Mathematical Journal, 70(1), 133-205. https://doi.org/10.1307/mmj/1592532044

Journal Article Type	Article
Acceptance Date	Mar 20, 2020
Online Publication Date	Jun 19, 2020
Publication Date	2021-03
Deposit Date	Mar 22, 2020
Publicly Available Date	Sep 11, 2020
Journal	Michigan Mathematical Journal
Print ISSN	0026-2285
Electronic ISSN	1945-2365
Publisher	Department of Mathematics
Peer Reviewed	Peer Reviewed
Volume	70
Issue	1
Pages	133-205
DOI	https://doi.org/10.1307/mmj/1592532044
Publisher URL	https://projecteuclid.org/journals/michigan-mathematical-journal/volume-70/issue-1/New-Nonarithmetic-Complex-Hyperbolic-Lattices-II/10.1307/mmj/1592532044.short