R. A. Hidalgo

collaborators

4 papers

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, Sebastián 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…

math.DS2024

On the FOD/FOM parameter of rational maps

Ruben A. Hidalgo

Let $χ$ be a (right) action of $PSL_{2} (L)$ on the space $L (z)$ of rational maps defined over an algebraically closed field $L$ . If $R \in {\mat…

Zpm​-actions of type (d;p,n)

Algebraic models of cyclic k-gonal curves

Generalized Fermat Riemann surfaces of infinite type

On the FOD/FOM parameter of rational maps

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

Algebraic models of cyclic $k$ -gonal curves