New non-arithmetic complex hyperbolic lattices II

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

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: The 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
• Public URL: https://durham-repository.worktribe.com/output/1267641
• Publisher URL: https://projecteuclid.org/journals/michigan-mathematical-journal/volume-70/issue-1/New-Nonarithmetic-Complex-Hyperbolic-Lattices-II/10.1307/mmj/1592532044.short