Saul Quispe

activity

20112023

most citedRational points in the moduli space of genus two

13 citations · 32 across the 12 of their papers we have counts for

collaborators

14 papers

math.AG2023★ 1 cited

Quasi-abelian group as automorphism group of Riemann surfaces

Rubén A. Hidalgo, Yerika Marín Montilla, Saúl Quispe

Conformal/anticonformal actions of the quasi-abelian group $Q A_{n}$ of order $2^{n}$ , for $n \geq 4$ , on closed Riemann surfaces, pseudo-real Riemann surfaces and closed Klein surface…

math.AG2022

On the fiber product over infinite-genus Riemann surfaces

John A. Arredondo, Saúl Quispe, Camilo Ramírez Maluendas

Considering non-constant holomorphic maps $β_{i} : S_{i} \to S_{0}$ , $i \in {1, 2}$ , between non-compact Riemann surfaces for which it is associated its fiber product $S_{1}\times_{(β_…

math.AG2022

Generalized quasi-dihedral group as automorphism group of Riemann surfaces

Rubén A. Hidalgo, Yerika Marín Montilla, Saúl Quispe

In this paper, we discuss certain types of conformal/anticonformal actions of the generalized quasi-dihedral group $G_{n}$ of order $8 n$ , for $n \geq 2$ , on closed Riemann surfaces,…

math.GT2020

Dessins d'enfants and some holomorphic structures on the Loch Ness Monster

Yasmina Atarihuana, Juan García, Rubén A. Hidalgo +2

The classical theory of dessin d'enfants, which are bipartite maps on compact orientable surfaces, are combinatorial objects used to study branched covers between compact Riemann s…

math.AG2019★ 13 cited

Rational points in the moduli space of genus two

L. Beshaj, R. Hidalgo, S. Kruk +3

We build a database of genus 2 curves defined over $Q$ which contains all curves with minimal absolute height $h \leq 5$ , all curves with moduli height $\mathfrak h \leq 20…

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.AG2016

Automorphism groups of pseudoreal Riemann surfaces

Michela Artebani, Saúl Quispe, Cristian Reyes

A smooth complex projective curve is called pseudoreal if it is isomorphic to its conjugate but is not definable over the reals. Such curves, together with real Riemann surfaces, f…

math.AG2016★ 2 cited

Generalized superelliptic Riemann surfaces

Ruben A. Hidalgo, Saúl Quispe, Tony Shaska

A closed Riemann surface $X$ , of genus $g \geq 2$ , is called a generalized superelliptic curve of level $n \geq 2$ if it admits an order $n$ conformal automorphism $τ$ so…

math.AG2016★ 12 cited

Quasiplatonic curves with symmetry group $Z_{2}^{2} ⋊ Z_{m}$ are definable over $Q$

Rubén A. Hidalgo, Leslie Jiménez, Saúl Quispe +1

It is well known that every closed Riemann surface $S$ of genus $g \geq 2$ , admitting a group $G$ of conformal automorphisms so that $S / G$ has triangular signature, can be defined…

math.AG2015

Riemann surfaces defined over the reals

Eslam Badr, Ruben A. Hidalgo, Saul Quispe

The known (explicit) examples of Riemann surfaces not definable over their field of moduli are not real whose field of moduli is a subfield of the reals. In this paper we provide e…

math.AG2015★ 3 cited

Isogenous decomposition of the Jacobian of generalized Fermat curves

Mariela Carvacho, Rubén A. Hidalgo, Saúl Quispe

A closed Riemann surface $S$ is called a generalized Fermat curve of type $(p, n)$ , where $p, n \geq 2$ are integers, if it admits a group $H ≅ Z_{p}^{n}$ of conformal…

math.DS2015

On Real and Pseudo-Real Rational Maps

Ruben A. Hidalgo, Saul Quispe

The moduli space $M_{d}$ , of complex rational maps of degree $d \geq 2$ , is a connected complex orbifold which carries a natural real structure, coming from usual complex con…

math.DS2015★ 1 cited

Connectivity of the branch locus of moduli space of rational maps