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Arithmetic Polyhedra

Allcock, Daniel et al.
arXiv (All) · Papers
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metric-geometrynumber-theory
The Koebe-Andreev-Thurston theorem assigns a 3-dimensional hyperbolic reflection group to each combinatorial polyhedron. A natural question is: which of them are arithmetic? In 2016, Kontorovich-Nakamura conjectured that all arithmetic reflection groups obtained in this way are commensurable to thos
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