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From geometry to arithmetic of compact hyperbolic Coxeter polytopes (2003.11944v5)

Published 25 Mar 2020 in math.GT, math.GR, math.MG, and math.NT

Abstract: We establish some geometric constraints on compact Coxeter polytopes in hyperbolic spaces and show that these constraints can be a very useful tool for the classification problem of reflective anisotropic Lorentzian lattices and cocompact arithmetic hyperbolic reflection groups.

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