activity
20122024
most citedRational points in the moduli space of genus two

13 citations · 64 across the 40 of their papers we have counts for

collaborators

54 papers

math.GT2024

Homology Covers and Automorphisms: Examples

Rubén A. Hidalgo

Let be a Riemann surface with a non-abelian fundamental group and for each integer or , let be its -homology cover. The surface $\wi…

math.CV2023

On quasiconformal equivalence of Schottky regions

Ruben A. Hidalgo

In a recent paper, H. Shiga proved that the regions of discontinuity of any two Schottky groups of ranks at least two are quasiconformally equivalent. In this paper, we provide an…

math.GT2023

The minima of the geodesic length functions of uniform filling curves

Ernesto Girondo, Gabino González-Diez, Rubén A. Hidalgo

There is a natural link between (multi-)curves that fill up a closed oriented surface and dessins d'enfants. We use this approach to exhibit explicitly the minima of the geodesic l…

math.AG2023★ 1 cited

On non-normal subvarieties of the moduli space of Riemann surfaces

Rubén A. Hidalgo, Jennifer Paulhus, Sebastián Reyes-Carocca +1

In this article, we consider certain irreducible subvarieties of the moduli space of compact Riemann surfaces determined by the specification of actions of finite groups. We addres…

math.AG2023★ 1 cited

Quasi-abelian group as automorphism group of Riemann surfaces

Rubén A. Hidalgo, Yerika Marín Montilla, Saúl Quispe

Conformal/anticonformal actions of the quasi-abelian group of order , for , on closed Riemann surfaces, pseudo-real Riemann surfaces and closed Klein surface…

math.AG2022

Generalized quasi-dihedral group as automorphism group of Riemann surfaces

Rubén A. Hidalgo, Yerika Marín Montilla, Saúl Quispe

In this paper, we discuss certain types of conformal/anticonformal actions of the generalized quasi-dihedral group of order , for , on closed Riemann surfaces,…