4 papers
Family of hyperbolic manifolds with exponential homology torsion growth
Stepan Alexandrov
In this note, we construct a family of hyperbolic manifolds with exponentially growing torsion in their homology groups. This demonstrates that the recent bound on homological tors…
On ideal vertices of right-angled hyperbolic polyhedra
Stepan Alexandrov
In this note, we improve Nikulin's inequality in the case of right-angled hyperbolic polyhedra. The new inequality allows to give much shorter proofs of the known dimension bounds.…
Lannér diagrams and combinatorial properties of compact hyperbolic Coxeter polytopes
Stepan Alexandrov
In this paper we study -products of Lannér diagrams. We prove that every -product of at least four Lannér diagrams with at least one diagram of order is…
On volumes of hyperbolic right-angled polyhedra
Stepan Alexandrov, Nikolay Bogachev, Andrei Egorov +1
In this paper we obtain new upper bounds on volumes of right-angled polyhedra in hyperbolic space in three different cases: for ideal polyhedra with all vertices on…