On volumes of quasi-arithmetic hyperbolic lattices
classification
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hyperbolicarithmeticcovolumequasi-arithmeticvolumescorollarydefinitiondescription
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We prove that the covolume of any quasi-arithmetic hyperbolic lattice (a notion that generalizes the definition of arithmetic subgroups) is a rational multiple of the covolume of an arithmetic subgroup. As a corollary, we obtain a good description for the shape of the volumes of most of the known hyperbolic n-manifolds with n>3.
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