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math.NT2026
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…
math.NT2026
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…
math.NT2024
A -adic adjoint -function and the ramification locus of the Hilbert modular eigenvariety
Baskar Balasubramanyam, John Bergdall, Matteo Longo
Let be a totally real field and the middle-degree eigenvariety for Hilbert modular forms over , constructed by Bergdall--Hansen. We study the ramification locu…