Matteo Longo

collaborators

4 papers

math.NT2026

Anticyclotomic Iwasawa main conjectures for modular forms

Matteo Longo, Maria Rosaria Pati, Stefano Vigni

Let $f$ be a newform of even weight at least $4$ , level $N$ and trivial character. Let $p ∤ N$ be an odd prime number that is ordinary for $f$ and let $K$ be an imaginary quadra…

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…

Anticyclotomic Iwasawa main conjectures for modular forms

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