@article{1567e32dd1b44090b68d79d092b52810,
title = "New nonarithmetic complex hyperbolic lattices II",
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.",
author = "Martin Deraux and Parker, {John R.} and Julien Paupert",
note = "Funding Information: ACKNOWLEDGMENTS. Part of this work took place while the authors were visiting ICERM, Arizona State University, Universit{\'e} Grenoble-Alpes, Durham University, and Tokyo Institute of Technology. The authors would like to thank these institutions for their hospitality during these visits. The first author would like to thank Bernard Parisse for his help in the development of spocheck [11] and his flexibility in adapting giac. The second author was partly supported by a JSPS Invitation Fellowship L16517. The third author was partly supported by Simons Foundation Collaboration Grant for Mathematicians 318124 and National Science Foundation grant DMS 170846. Publisher Copyright: {\textcopyright} 2021 University of Michigan. All rights reserved.",
year = "2021",
month = mar,
doi = "10.1307/MMJ/1592532044",
language = "English (US)",
volume = "70",
pages = "133--205",
journal = "Michigan Mathematical Journal",
issn = "0026-2285",
publisher = "University of Michigan",
number = "1",
}