New non-arithmetic complex hyperbolic lattices
نویسندگان
چکیده
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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Conjecture 1.1 is out of reach for nonarithmetic lattices in O.n; 1/ and SU.n; 1/, since we do not understand the structure of such lattices. However, all known constructions of nonarithmetic lattices lead to noncoherent groups: See the author, Potyagailo and Vinberg [28] for the case of Gromov–Piatetsky–Shapiro construction; the same argument proves noncoherence of nonarithmetic reflection lat...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2015
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-015-0600-1