Paola Magrone

collaborators

3 papers

math.NT2026

Quaternionic families of Heegner points and $p$ -adic $L$ -functions

Matteo Longo, Paola Magrone, Eris Rocha Walchek

Following up a previous article of the authors which studies the interpolation of certain anticyclotomic $p$ -adic $L$ -functions associated to quaternionic modular forms in a Hida f…

math.NT2026

On quaternionic ordinary families of modular forms and $p$ -adic $L$ -functions

Matteo Longo, Paola Magrone, Eris Rocha Walchek

We use Serre--Tate expansions of modular forms to construct power series attached to quaternionic ordinary families of modular forms. We associate to these power series a big $p$ -a…

math.NT2025

Big Heegner points, generalized Heegner classes and $p$ -adic $L$ -functions in the quaternionic setting

Matteo Longo, Paola Magrone, Eduardo Rocha Walchek

The goal of this paper is to study the $p$ -adic variation of Heegner points and generalized Heegner classes for ordinary families of quaternionic modular forms. We compare classica…

Quaternionic families of Heegner points and p-adic L-functions

On quaternionic ordinary families of modular forms and p-adic L-functions

Big Heegner points, generalized Heegner classes and p-adic L-functions in the quaternionic setting

Quaternionic families of Heegner points and $p$ -adic $L$ -functions

On quaternionic ordinary families of modular forms and $p$ -adic $L$ -functions

Big Heegner points, generalized Heegner classes and $p$ -adic $L$ -functions in the quaternionic setting