activity
20032024
most citedOn families of Riemann surfaces with automorphisms

9 citations · 17 across the 13 of their papers we have counts for

collaborators

15 papers

math.AG2024

Decomposing abelian varieties into simple factors: algorithms and applications

Rubí E. Rodríguez, Anita M. Rojas

We give an effective procedure to explicitly find the decomposition of a polarized abelian variety into its simple factors if a period matrix is known. Since finding this datum is…

math.AG2024

On the Jacobian variety of the Accola-Maclachlan curve of genus four

Robert Auffarth, Sebastián Reyes-Carocca, Anita M. Rojas

In this short note, we study the Jacobian variety of the Accola-Maclachlan curve of genus four and obtain explicitly its Poincaré isogeny decomposition. More precisely, we show tha…

math.AG2023★ 1 cited

On non-normal subvarieties of the moduli space of Riemann surfaces

Rubén A. Hidalgo, Jennifer Paulhus, Sebastián Reyes-Carocca +1

In this article, we consider certain irreducible subvarieties of the moduli space of compact Riemann surfaces determined by the specification of actions of finite groups. We addres…

math.AG2020★ 1 cited

On large prime actions on Riemann surfaces

Sebastián Reyes-Carocca, Anita M. Rojas

In this article we study compact Riemann surfaces of genus with an automorphism of prime order The main result provides a classification of such surfaces. In addition, w…

math.AG2020★ 9 cited

On families of Riemann surfaces with automorphisms

Milagros Izquierdo, Sebastián Reyes-Carocca, Anita M. Rojas

In this article we determine the maximal possible order of the automorphism group of the form , where and are integers, of a complex three and four-dimensional fami…

math.AG2019★ 3 cited

A decomposition of the Jacobian of a Humbert-Edge curve

Robert Auffarth, Giancarlo Lucchini Arteche, Anita M. Rojas

A \textit{Humbert-Edge curve of type} is a non-degenerate smooth complete intersection of diagonal quadrics. Such a curve has an interesting geometry since it has a natur…