English

Even unimodular Lorentzian lattices and hyperbolic volume

Geometric Topology 2015-04-09 v2 Metric Geometry

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.

Keywords

Cite

@article{arxiv.1201.5261,
  title  = {Even unimodular Lorentzian lattices and hyperbolic volume},
  author = {Vincent Emery},
  journal= {arXiv preprint arXiv:1201.5261},
  year   = {2015}
}

Comments

minor modifications. To appear in J. Reine Angew. Math

R2 v1 2026-06-21T20:09:31.790Z