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math.GT2026
Cyclic-Schottky strata of Schottky space
Ruben A. Hidalgo, Milagros Izquierdo
Schottky space , where is an integer, is a connected complex orbifold of dimension ; it provides a parametrization of the ${\rm PSL}_{2}({\math…
math.GT2023
Extending finite free actions of surfaces
Rubén A. Hidalgo
We prove the existence of finite groups of orientation-preserving homeomorphisms of some closed orientable surface that act freely and which extends as a group of homeomorphism…
math.GT2020
Geometric description of Virtual Schottky groups
Ruben A. Hidalgo
A virtual Schottky group is a Kleinian group containing a Schottky group as a finite index normal subgroup. These groups correspond to those groups of automorphisms of clos…