1 citations · 1 across the 4 of their papers we have counts for
4 papers
Vanishing of and its consequences for the anticyclotomic Iwasawa theory of -abelian varieties
Luca Mastella, Ahmed Matar, Francesco Zerman
In this article we generalise a classical Kolyvagin's result on the vanishing of the -part of the Shafarevich--Tate group of an elliptic curve (defined over ) over a…
On anticyclotomic Euler and Kolyvagin systems
Luca Mastella, Francesco Zerman
We introduce an axiomatization of the notion of ( -complete) anticyclotomic Euler system for a wide class of Galois representations, including those attached to a cuspidal eigen…
On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic -towers
Antonio Lei, Luca Mastella, Luochen Zhao
Let be an odd prime number and let be an imaginary quadratic field in which is split. Let be a modular form with good reduction at . We study the variation of th…
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…