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arxiv: 1201.5261 · v2 · pith:LEDE7TEKnew · submitted 2012-01-25 · 🧮 math.GT · math.MG

Even unimodular Lorentzian lattices and hyperbolic volume

classification 🧮 math.GT math.MG
keywords hyperboliccomputeevenlorentzianunimodularvolumearithmeticautomorphism
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We compute the hyperbolic covolume of the automorphism group of each even unimodular Lorentzian lattice. The result is obtained as a consequence of a previous work with Belolipetsky, which uses Prasad's volume to compute the volumes of the smallest hyperbolic arithmetic orbifolds.

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