On volumes of quasi-arithmetic hyperbolic lattices

• Vincent Emery ^[1]
  1. [1] University of Bern

     University of Bern

     Bern/Berne/Berna, Suiza

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 23, Nº. 4, 2017, págs. 2849-2862
• Idioma: inglés
• DOI: 10.1007/s00029-017-0308-8
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• Resumen

  • 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.