Luca Mastella

activity

20232026

most citedOn the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic

Z_{p}

-towers

1 citations · 1 across the 3 of their papers we have counts for

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math.NT2026

Vanishing of $Sha (A / K) [P^{\infty}]$ and its consequences for the anticyclotomic Iwasawa theory of $GL_{2}$ -abelian varieties

Luca Mastella, Ahmed Matar, Francesco Zerman

In this article we generalise a classical Kolyvagin's result on the vanishing of the $p$ -part of the Shafarevich--Tate group of an elliptic curve (defined over $Q$ ) over a…

math.NT2025

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.NT2024

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.NT2023

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…

Vanishing of Sha(A/K)[P∞] and its consequences for the anticyclotomic Iwasawa theory of GL2​-abelian varieties

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

Vanishing of $Sha (A / K) [P^{\infty}]$ and its consequences for the anticyclotomic Iwasawa theory of $GL_{2}$ -abelian varieties

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