9 citations · 43 across the 24 of their papers we have counts for
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Higher Fitting ideals and the structure of anticyclotomic Shafarevich-Tate groups
Enrico Da Ronche, Matteo Longo, Stefano Vigni
Let be a prime number. We investigate a refined version of the Iwasawa main conjectures for rational elliptic curves (and more general Galois representations) over anticyclotom…
The anticyclotomic main conjectures for elliptic curves
Massimo Bertolini, Matteo Longo, Rodolfo Venerucci
The goal of this article is to obtain a proof of the Main conjectures of Iwasawa theory for rational elliptic curves over anticyclotomic extensions of imaginary quadratic fields, u…
The Tamagawa number conjecture and Kolyvagin's conjecture for motives of modular forms
Matteo Longo, Stefano Vigni
Assuming specific instances of two general conjectures in arithmetic algebraic geometry (bijectivity of -adic regulator maps, injectivity of -adic Abel-Jacobi maps), we prove…
Anticyclotomic main conjecture and the non-triviality of Rankin-Selberg -values in Hida families
Chan-Ho Kim, Matteo Longo
The aim of this paper is to prove the two-variable anticyclotomic Iwasawa main conjecture for Hida families and a definite version of the horizontal non-vanishing conjecture, which…
An explicit comparison of anticyclotomic -adic -functions for Hida families
Chan-Ho Kim, Matteo Longo
The aim of this note is to compare several anticyclotomic -adic -functions for modular forms and -adic families of ordinary modular forms, which have been defined and stud…
A p-adic Shimura-Maass operator on Mumford curves
Matteo Longo
We study a p-adic Shimura-Maass operator in the context of Mumford curves defined by C. Franc is his Ph.D. Thesis. We prove that this operator arises from a splitting of the Hodge…