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math.GT2023
Quasi-arithmetic hyperbolic Coxeter prisms
Nikolay Bogachev, Khusrav Yorov
In 1974, Kaplinskaja classified all simplicial straight hyperbolic Coxeter prisms. In this paper, we determine precisely which of these prisms are properly quasi-arithmetic or arit…
math.GT2023★ 1 cited
On quasi-arithmeticity of hyperbolic gluings
Nikolay Bogachev, Dmitry Guschin, Andrei Vesnin
We study a more general version of the gluings of hyperbolic orbifolds in the spirit of Gromov and Piatetski-Shapiro, where the gluing pieces, called the building blocks, are no lo…
math.GT2023
Geometric and arithmetic properties of Löbell polyhedra
Nikolay Bogachev, Sami Douba
The Löbell polyhedra form an infinite family of compact right-angled hyperbolic polyhedra in dimension . We observe, through both elementary and more conceptual means, that the…