Luca Mastella

collaborators

3 papers

math.NT2026

On anticyclotomic Euler and Kolyvagin systems

Luca Mastella, Francesco Zerman

We introduce an axiomatization of the notion of ( $p$ -complete) anticyclotomic Euler system for a wide class of Galois representations, including those attached to a cuspidal eigen…

math.NT2025

On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic $Z_{p}$ -towers

Antonio Lei, Luca Mastella, Luochen Zhao

Let $p$ be an odd prime number and let $K$ be an imaginary quadratic field in which $p$ is split. Let $f$ be a modular form with good reduction at $p$ . We study the variation of th…

math.NT2025

Vanishing of the p-part of the Shafarevich-Tate group of a modular form and its consequences for Anticyclotomic Iwasawa Theory

Luca Mastella

In this article we prove a refinement of a theorem of Longo and Vigni in the anticyclotomic Iwasawa theory for modular forms. More precisely we give a definition for the ($\mathfra…

On anticyclotomic Euler and Kolyvagin systems

On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic Zp​-towers

Vanishing of the p-part of the Shafarevich-Tate group of a modular form and its consequences for Anticyclotomic Iwasawa Theory

On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic $Z_{p}$ -towers