34 citations · 70 across the 14 of their papers we have counts for
5 papers · 1 filter
Quotients of the holomorphic 2-ball and the turnover
Hugo C. Botós, Carlos H. Grossi
We construct two-dimensional families of complex hyperbolic structures on disc orbibundles over the sphere with three cone points. This contrasts with the previously known examples…
Hyperbolic 2-spheres with cone singularities
Sasha Anan'in, Carlos H. Grossi, Jaejeong Lee +1
We study the space of hyperbolic 2-spheres with cone points of prescribed apex curvatures and some related spaces. For ,…
Poincaré's polyhedron theorem for cocompact groups in dimension 4
Sasha Anan'in, Carlos H. Grossi, Júlio C. C. da Silva
We prove a version of Poincaré's polyhedron theorem whose requirements are as local as possible. New techniques such as the use of discrete groupoids of isometries are introduced.…
Yet Another Poincare's Polyhedron Theorem
Sasha Anan'in, Carlos H. Grossi
Poincaré's Polyhedron Theorem is a widely known valuable tool in constructing manifolds endowed with a prescribed geometric structure. It is one of the few criteria providing discr…
Complex Hyperbolic Structures on Disc Bundles over Surfaces
Sasha Anan'in, Carlos H. Grossi, Nikolay Gusevskii
We study complex hyperbolic disc bundles over closed orientable surfaces that arise from discrete and faithful representations H_n->PU(2,1), where H_n is the fundamental group of t…