R. A. Hidalgo

activity

20242026

collaborators

10 papers

math.GT2026

On the biggest purely non-free conformal actions on compact Riemann surfaces and their asymptotic properties

C. BagiÅski, G. Gromadzki, R. A. Hidalgo

A continuous action of a finite group $G$ on a closed orientable surface $X$ is said to be gpnf (Gilman purely non-free) if every element of $G$ has a fixed point on $X$ . We prove…

math.GT2026

Infinite-type Schottky groups and group actions on infinite-type surfaces

RubÃ©n A. Hidalgo

We introduce a certain class of purely loxodromic free Kleinian groups, called infinite-type Schottky groups, which are defined by a suitable collection of simple loops on the Riem…

math.AG2026

$Z_{k}^{m}$ -actions of signature $(0; k, \dots n + 1, k)$

RubÃ©n A. Hidalgo, SebastiÃ¡n Reyes-Carocca

An action of a finite group $G$ is a pair $(S, G^)$ , where $S$ is a compact Riemann surface of genus $g ⩾ 2$ and $G^⩽ Aut (S)$ is isomorphic to $G$ .…

math.AG2025

$Z_{p}^{m}$ -actions of type $(d; p, n)$

Ruben A. HIdalgo, Maximiliano Leyton-Alvarez

A $Z_{p}^{m}$ -action of type $(d; p, n)$ , where $2 \leq d \leq m \leq n$ are integers, is a pair $(S, N)$ where $S$ is a $d$ -dimensional compact complex manifold, $N \cong {…

math.AG2025

Algebraic models of cyclic $k$ -gonal curves

Ruben A. Hidalgo, SebastiÃ¡n Reyes-Carocca

In this paper, we describe explicit algebraic equations of tame cyclic $k$ -gonal curves, where $k \geq 2$ is an integer, reflecting the action of the normalizer of a tame cyclic $k…

math.GT2025

Generalized Fermat Riemann surfaces of infinite type

Ruben A. Hidalgo

The Loch Ness monster (LNM) is, up to homeomorphisms, the unique orientable, connected, Hausdorff, second countable surface of infinite genus and with exactly one end. For each int…