R. A. Hidalgo

activity

20242026

collaborators

Showing math.AGShow all

5 papers · 1 filter

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

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

Rubén A. Hidalgo, Sebastián 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

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.AG2024

Uniqueness of Generalized Fermat Groups in positive characteristic

Rubén A. Hidalgo, Henry F. Hughes, Maximiliano Leyton-Álvarez

Let $X \subset P_{K}^{m}$ be a smooth irreducible projective algebraic variety of dimension $d$ , defined over an algebraically closed field $K$ of characteristic $p > 0$ . We…

math.AG2024

Computing the Field of moduli of some non-hyperelliptic pseudo-real curves

Ruben A. Hidalgo

The explicit computation of the field of moduli of a closed Riemann surface is, in general, a difficult task. In this paper, for each even integer $k \geq 2$ , we consider a suitabl…

Zpm​-actions of type (d;p,n)

Zkm​-actions of signature (0;k,…n+1,k)

Algebraic models of cyclic k-gonal curves

Uniqueness of Generalized Fermat Groups in positive characteristic

Computing the Field of moduli of some non-hyperelliptic pseudo-real curves

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

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

Algebraic models of cyclic $k$ -gonal curves