M. Longo

collaborators

3 papers

math.NT2025

On anticyclotomic Selmer groups of elliptic curves

Matteo Longo, Jishnu Ray, Stefano Vigni

Let $p \geq 5$ be a prime number and let $K$ be an imaginary quadratic field where $p$ is unramified. Under mild technical assumptions, in this paper we prove the non-existence of no…

math.NT2025

A generalized Rubin formula for Hecke characters

Matteo Longo, Stefano Vigni, Shilun Wang

The goal of this paper is to generalize Rubin's theorem on values of Katz's $p$ -adic $L$ -function outside the range of interpolation from the case of Hecke characters of CM ellipti…

math.NT2024

Kolyvagin's conjecture for modular forms

Matteo Longo, Maria Rosaria Pati, Stefano Vigni

Our main result in this article is a proof (under mild technical assumptions) of an analogue for $p$ -adic Galois representations attached to a newform $f$ of even weight $k \geq 4$ o…