4 citations · 9 across the 12 of their papers we have counts for
14 papers
Stressability of Semi-Discrete Frameworks
Oleg Karpenkov, Christian Müller, Anna Pratoussevitch
In this paper we study the stressability of semi-discrete frameworks in the plane which are generated by a discrete sequence of smooth curves. We characterize their stressability p…
Circumscribed Circles in Integer Geometry
Oleg Karpenkov, Anna Pratoussevitch, Rebecca Sheppard
Integer geometry on a plane deals with objects whose vertices are points in . The congruence relation is provided by all affine transformations preserving the lattice…
Complex Hyperbolic Triangle Groups of Type
Sam Povall, Anna Pratoussevitch
In this paper we study the discreteness of complex hyperbolic triangle groups of type , i.e. groups of isometries of the complex hyperbolic plane generated by…
Hyperbolic Groups and Non-Compact Real Algebraic Curves
Sergey Natanzon, Anna Pratoussevitch
In this paper we study the spaces of non-compact real algebraic curves, i.e. pairs , where is a compact Riemann surface with a finite number of holes and punctures and $…
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…
Complex Hyperbolic Triangle Groups of Type
Sam Povall, Anna Pratoussevitch
In this paper we study discreteness of complex hyperbolic triangle groups of type , i.e. groups of isometries of the complex hyperbolic plane generated by three comp…