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math.CV2018
Automorphism groups of dessins d'enfants
Ruben A. Hidalgo
Recently, Gareth Jones observed that every finite group can be realized as the group of automorphisms of some dessin d'enfant . In this paper, complementing Garet…
math.CV2017
On the connectedness of the set of Riemann surfaces with real moduli
Antonio F. Costa, Ruben A. Hidalgo
The moduli space , of genus closed Riemann surfaces, is a complex orbifold of dimension which carries a natural real structure i.e. it admits a…
math.CV2017
Uniformizations of stable -gonal Riemann surfaces
Ruben A. Hidalgo
A -gonal pair is a pair , where is a closed Riemann surface and is a degree holomorphic map onto a closed Riemann surface of genus . If the…