R. A. Hidalgo

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20242026

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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…

math.GT2024

The structure of MDC-Schottky extension groups

Rubén A. Hidalgo

Let $M^{0}$ be a complete hyperbolic $3$ -manifold whose conformal boundary is a closed Riemann surface $S$ of genus $g \geq 2$ . If $M = M^{0} \cup S$ , then let $Aut (S; M)$ be th…

math.CV2024

A simple remark on holomorphic maps on Torelli space of marked spheres

Ruben A. Hidalgo

The configuration space of $k \geq 3$ ordered points in the Riemann sphere $C$ is the Torelli space $U_{0, k}$ ; a complex manifold of dimension $k - 3$ . I…

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…