5 citations · 9 across the 4 of their papers we have counts for
6 papers
On neoclassical Schottky groups
Ruben A. Hidalgo, Bernard Maskit
The goal of this paper is to describe a theoretical construction of an infinite collection of non-classical Schottky groups. We first show that there are infinitely many non-classi…
A sufficiently complicated noded Schottky group of rank three
Ruben A. Hidalgo
The theoretical existence of non-classical Schottky groups is due to Marden. Explicit examples of such kind of groups are only known in rank two, the first one by by Yamamoto in 19…
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…
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…
Isogenous decomposition of the Jacobian of generalized Fermat curves
Mariela Carvacho, Rubén A. Hidalgo, Saúl Quispe
A closed Riemann surface is called a generalized Fermat curve of type , where are integers, if it admits a group of conformal…
Connectivity of the branch locus of moduli space of rational maps
Ruben A. Hidalgo, Saul Quispe
Milnor proved that the moduli space of rational maps of degree has a complex orbifold structure of dimension . Let us denote by …