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New non-arithmetic complex hyperbolic lattices II.

Deraux, Martin and Parker, John R. and Paupert, Julien (2021) 'New non-arithmetic complex hyperbolic lattices II.', Michigan mathematical journal., 70 (1). pp. 133-205.

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.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://projecteuclid.org/journals/michigan-mathematical-journal/volume-70/issue-1/New-Nonarithmetic-Complex-Hyperbolic-Lattices-II/10.1307/mmj/1592532044.short
Date accepted:20 March 2020
Date deposited:22 March 2020
Date of first online publication:19 June 2020
Date first made open access:11 September 2020

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