R. Hidalgo

activity

20152022

most citedOn neoclassical Schottky groups

5 citations · 9 across the 8 of their papers we have counts for

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7 papers · 1 filter

math.AG2022

On $p$ -gonal fields of definition

Ruben A. Hidalgo

Let $S$ be a closed Riemann surface of genus $g \geq 2$ and $φ$ be a conformal automorphism of $S$ of prime order $p$ such that $S / ⟨ φ ⟩$ has genus zero. Let ${\mathbb K…

math.AG2022

Smooth quotients of generalized Fermat curves

Rubén A. Hidalgo

A closed Riemann surface $S$ is called a generalized Fermat curve of type $(p, n)$ , where $n, p \geq 2$ are integers such that $(p - 1) (n - 1) > 2$ , if it admits a group $H \cong {\mathbb…

math.AG2020

$q$ -étale covers of cyclic $p$ -gonal covers

Angel Carocca, Rubén Hidalgo, Rubí E. Rodríguez

In this paper we study the Galois group of the Galois cover of the composition of a $q$ -cyclic étale cover and a cyclic $p$ -gonal cover for any odd prime $p$ . Furthermore, we give…

math.AG2019

On the connectivity of the branch and real locus of $M_{0, [n + 1]}$

Yasmina Atarihuana, Rubén A. Hidalgo

If $n \geq 3$ , then moduli space $M_{0, [n + 1]}$ , of isomorphisms classes of $(n + 1)$ -marked spheres, is a complex orbifold of dimension $n - 2$ . Its branch locus ${\mathcal…

math.AG2018

Regular dessins d'enfants with dicyclic group of automorphisms

Rubén A. Hidalgo, Saúl Quispe

Let $G_{n}$ be the dicyclic group of order $4 n$ . We observe that, up to isomorphisms, (i) for $n \geq 2$ even there is exactly one regular dessin d'enfant with automorphism group $…

math.AG2018

Weierstrass weight of the hyperosculating points of generalized Fermat curves

Rubén A. Hidalgo, Maximiliano Leyton-Álvarez

Let $(S, H)$ be a generalized Fermat pair of the type $(k, n)$ . If $F \subset S$ is the set of fixed points of the non-trivial elements of the group $H$ , then $F$ is exactly the set o…

On p-gonal fields of definition