The maximum volume of hyperbolic polyhedra
We study the supremum of the volume of hyperbolic polyhedra with some fixed combinatorics and with vertices of any kind (real, ideal, or hyperideal). We find that the supremum is always equal to the volume of the rectification of the -skeleton.
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2021
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| In: |
Transactions of the American Mathematical Society
Year: 2020, Volume: 374, Issue: 2, Pages: 1125-1153 |
| ISSN: | 1088-6850 |
| DOI: | 10.1090/tran/8215 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1090/tran/8215 Verlag, lizenzpflichtig, Volltext: https://www.ams.org/tran/2021-374-02/S0002-9947-2020-08215-4/ 
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| Author Notes: | Giulio Belletti |
| Summary: | We study the supremum of the volume of hyperbolic polyhedra with some fixed combinatorics and with vertices of any kind (real, ideal, or hyperideal). We find that the supremum is always equal to the volume of the rectification of the -skeleton. |
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| Item Description: | Article electronically published on November 3, 2020 Gesehen am 19.02.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1088-6850 |
| DOI: | 10.1090/tran/8215 |