9 citations · 16 across the 14 of their papers we have counts for
Showing 2020Show all
2 papers · 1 filter
math.GT2020
From geometry to arithmetic of compact hyperbolic Coxeter polytopes
Nikolay Bogachev
We establish some geometric constraints on compact Coxeter polytopes in hyperbolic spaces and show that these constraints can be a very useful tool for the classification problem o…
math.GT2020★ 9 cited
On faces of quasi-arithmetic Coxeter polytopes
Nikolay Bogachev, Alexander Kolpakov
We prove that each lower-dimensional face of a quasi-arithmetic Coxeter polytope, which happens to be itself a Coxeter polytope, is also quasi-arithmetic. We also provide a suffici…