157 citations · 373 across the 31 of their papers we have counts for
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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 $…
On framed simple purely real Hurwitz numbers
Maxim Kazarian, Sergey Lando, Sergey Natanzon
We present a study of real Hurwitz numbers enumerating a special kind of real meromorphic functions, which we call simple framed purely real functions. We deduce partial differenti…
Moduli Spaces of Higher Spin Klein Surfaces
Sergey Natanzon, Anna Pratoussevitch
We study the connected components of the space of higher spin bundles on hyperbolic Klein surfaces. A Klein surface is a generalisation of a Riemann surface to the case of non-orie…
Higher Spin Klein Surfaces
Sergey Natanzon, Anna Pratoussevitch
We find all m-spin structures on Klein surfaces of genus larger than one. An m-spin structure on a Riemann surface P is a complex line bundle on P whose m-th tensor power is the co…
Check of reality for complex algebraic functions
Sergey M. Natanzon
Consider a real algebraic curve with set of real points and complexification . Let be an algebraic function on with devisor of critical points…
Topological Invariants and Moduli Spaces of Gorenstein Quasi-Homogeneous Surface Singularities
Sergey Natanzon, Anna Pratoussevitch
We describe all connected components of the space of hyperbolic Gorenstein quasi-homogeneous surface singularities. We prove that any connected component is homeomorphic to a quoti…