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.
Gespeichert in:
| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2021
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| In: |
Transactions of the American Mathematical Society
Year: 2020, Jahrgang: 374, Heft: 2, Pages: 1125-1153 |
| ISSN: | 1088-6850 |
| DOI: | 10.1090/tran/8215 |
| Online-Zugang: | 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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| Verfasserangaben: | Giulio Belletti |
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| 520 | |a 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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