Xavier Guitart

activity

20092025

most citedDarmon points on elliptic curves over number fields of arbitrary signature

18 citations · 60 across the 23 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.NT2015

Fields of definition of elliptic $k$ -curves and the realizability of all genus 2 Sato--Tate groups over a number field

Francesc Fité, Xavier Guitart

Let $A / Q$ be an abelian variety of dimension $g \geq 1$ that is isogenous over $Q$ to $E^{g}$ , where $E$ is an elliptic curve. If $E$ does not have comple…

math.NT2015

Uniformization of modular elliptic curves via p-adic periods

Xavier Guitart, Marc Masdeu, Mehmet Haluk Sengun

The Langlands Programme predicts that a weight 2 newform f over a number field K with integer Hecke eigenvalues generally should have an associated elliptic curve E_f over K. In ou…

Fields of definition of elliptic k-curves and the realizability of all genus 2 Sato--Tate groups over a number field

Uniformization of modular elliptic curves via p-adic periods

Fields of definition of elliptic $k$ -curves and the realizability of all genus 2 Sato--Tate groups over a number field