4 citations · 9 across the 12 of their papers we have counts for
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Two series of polyhedral fundamental domains for Lorentz bi-quotients
Nasser Bin Turki, Anna Pratoussevitch
The main aim of this paper is to give two infinite series of examples of Lorentz space forms that can be obtained from Lorentz polyhedra by identification of faces. These Lorentz s…
The Combinatorial Geometry of Q-Gorenstein Quasi-Homogeneous Surface Singularities
Anna Pratoussevitch
The main result of this paper is a construction of fundamental domains for certain group actions on Lorentz manifolds of constant curvature. We consider the simply connected Lie gr…
Non-Discrete Complex Hyperbolic Triangle Groups of Type (m,m,infinity)
Anna Pratoussevitch
In this note we prove that a complex hyperbolic triangle group of type (m,m,infinity), i.e. a group of isometries of the complex hyperbolic plane, generated by complex reflections…
Traces in Complex Hyperbolic Triangle Groups
Anna Pratoussevitch
We present several formulas for the traces of elements in complex hyperbolic triangle groups generated by complex reflections. The space of such groups of fixed signature is of rea…
Fundamental Domains in Lorentzian Geometry
Anna Pratoussevitch
We consider discrete subgroups Gamma of the simply connected Lie group SU~(1,1), the universal cover of SU(1,1), of finite level, i.e. the subgroup intersects the centre of SU~(1,1…