New Nonarithmetic Complex Hyperbolic Lattices II
نویسندگان
چکیده
We describe a general procedure to produce fundamental domains for complex hyperbolic triangle groups. This allows us new nonarithmetic lattices, bringing the number of known commensurability classes in PU(2,1) 22.
منابع مشابه
New non-arithmetic complex hyperbolic lattices
We produce a family of new, non-arithmetic lattices in PU(2, 1). All previously known examples were commensurable with lattices constructed by Picard, Mostow, and Deligne– Mostow, and fell into 9 commensurability classes. Our groups produce 5 new distinct commensurability classes. Most of the techniques are completely general, and provide efficient geometric and computational tools for construc...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 2021
ISSN: ['0026-2285', '1945-2365']
DOI: https://doi.org/10.1307/mmj/1592532044