paper

Even unimodular Lorentzian lattices and hyperbolic volume

arXiv:1201.5261 · doi:10.1515/crelle-2012-0061

Abstract

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.

arXiv commentminor modifications. To appear in J. Reine Angew. Math