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1 IF - Institut Fourier 2 Department of mathematical sciences 3 School of Mathematical and Statistical Sciences

Abstract : We produce a family of new, non arithmetic lattices in PU2,1. 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 constructing fundamental domains for discrete group acting on the complex hyperbolic plane.

Autor: Martin Deraux - John Parker - Julien Paupert -



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