34 citations · 46 across the 5 of their papers we have counts for
7 papers
Splitting fields of complex hyperbolic groups: matrix extraction, Hermitian descent, and spectral fields
Angel Cano, Hector Castro, Nikolay Gusevskii
Let , , be Zariski-dense and contain a regular loxodromic element . The splitting-field problem asks how far traces and spectra determine a field of d…
Moduli of triples of points in quaternionic hyperbolic geometry
Igor Almeida, Nikolay Gusevskii
In this work, we describe the moduli of triples of points in quaternionic projective space which define uniquely the congruence classes of such triples relative to the action of th…
On bisectors in quaternionic hyperbolic space
Igor A. R. Almeida, Jaime L. O. Chamorro, Nikolay Gusevskii
In this paper, we study a problem related to geometry of bisectors in quaternionic hyperbolic geometry. We develop some of the basic theory of bisectors in quaternionic hyperbolic…
A note on trace fields of complex hyperbolic groups
Heleno Cunha, Nikolay Gusevskii
We show that if is an irreducible subgroup of , then contains a loxodromic element . If has eigenvalues , $λ_3 = λ^{-…
On the moduli space of quadruples of points in the boundary of complex hyperbolic space
Heleno Cunha, Nikolay Gusevskii
We consider the space of ordered quadruples of distinct points in the boundary of complex hyperbolic -space, up to its holomorphic isometry group ${\rm PU…
Complex Hyperbolic Structures on Disc Bundles over Surfaces. II. Example of a Trivial Bundle
Sasha Anan'in, Nikolay Gusevskii
This article is based on the methods developed in [AGG]. We construct a complex hyperbolic structure on a trivial disc bundle over a closed orientable surface (of genus 2) thus…