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 2019Show all

3 papers · 1 filter

math.NT2019★ 2 cited

Special values of triple-product $p$ -adic $L$ -functions and non-crystalline diagonal classes

Francesca Gatti, Xavier Guitart, Marc Masdeu +1

The main purpose of this note is to understand the arithmetic encoded in the special value of the $p$ -adic $L$ -function $L_{p}^{g} (f, g, h)$ associat…

math.NT2019

Tate module tensor decompositions and the Sato-Tate conjecture for certain abelian varieties potentially of $GL_{2}$ -type

Francesc Fité, Xavier Guitart

We introduce a tensor decomposition of the $ℓ$ -adic Tate module of an abelian variety $A_{0}$ defined over a number field which is geometrically isotypic. If $A_{0}$ is potentially…

math.NT2019

On the elliptic Stark conjecture in higher weight

Francesca Gatti, Xavier Guitart

We study the special values of the triple product $p$ -adic $L$ -function constructed by Darmon and Rotger at all classical points outside the region of interpolation. We propose con…

Special values of triple-product p-adic L-functions and non-crystalline diagonal classes

Tate module tensor decompositions and the Sato-Tate conjecture for certain abelian varieties potentially of GL2​-type

On the elliptic Stark conjecture in higher weight

Special values of triple-product $p$ -adic $L$ -functions and non-crystalline diagonal classes

Tate module tensor decompositions and the Sato-Tate conjecture for certain abelian varieties potentially of $GL_{2}$ -type