Emery, Vincent (2017). On volumes of quasi-arithmetic hyperbolic lattices. Selecta mathematica, 23(4), pp. 2849-2862. Springer 10.1007/s00029-017-0308-8
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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.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Emery, Vincent |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1022-1824 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
17 Apr 2018 11:04 |
Last Modified: |
05 Dec 2022 15:09 |
Publisher DOI: |
10.1007/s00029-017-0308-8 |
BORIS DOI: |
10.7892/boris.109151 |
URI: |
https://boris.unibe.ch/id/eprint/109151 |
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