New Nonarithmetic Complex Hyperbolic Lattices II

Martin Deraux; John R. Parker; Julien Paupert

doi:10.1307/mmj/1592532044

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 $\mathrm{PU}(2,1)$ to 22.

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Martin Deraux. John R. Parker. Julien Paupert. "New Nonarithmetic Complex Hyperbolic Lattices II." Michigan Math. J. 70 (1) 133 - 205, March 2021. https://doi.org/10.1307/mmj/1592532044

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Received: 18 December 2018; Revised: 20 March 2020; Published: March 2021

First available in Project Euclid: 19 June 2020

Digital Object Identifier: 10.1307/mmj/1592532044

Subjects:

Primary: 20F05 , 20F36 , 22E40 , 32M15

Abstract

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