R. Hidalgo

activity

20122024

most citedRational points in the moduli space of genus two

13 citations · 64 across the 40 of their papers we have counts for

collaborators

Showing 2016Show all

6 papers · 1 filter

math.AG2016

On the fiber product of Riemann surfaces

Ruben A. Hidalgo, Sebastian Reyes-Carocca, Angelica Vega

Let $S_{0}, S_{1}$ and $S_{2}$ be connected Riemann surfaces and let $β_{1} : S_{1} \to S_{0}$ and $β_{2} : S_{2} \to S_{0}$ be surjective holomorphic maps. The associated fiber produc…

math.CO2016

Bipartite graphs and their dessins d'enfants

Ruben A. Hidalgo

Each finite and connected bipartite graph induces a finite collection of non-isomorphic dessins d'enfants, that is, $2$ -cell embeddings of it into some closed orientable surface. W…

math.AG2016★ 12 cited

Fields of moduli of classical Humbert curves

Rubén A. Hidalgo, Sebastián Reyes-Carocca

The computation of the field of moduli of a closed Riemann surface seems to be a very difficult problem and even more difficult is to determine if the field of moduli is a field of…

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

On the field of moduli of superelliptic curves

Ruben Hidalgo, Tony Shaska

A superelliptic curve $\X$ of genus $g \geq 2$ is not necessarily defined over its field of moduli but it can be defined over a quadratic extension of it. While a lot of work has be…

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…