3 papers
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.NT2025
Matrix-valued Hilbert modular forms
Enrico Da Ronche
In this paper we generalize the notion of logarithmic vector-valued modular form in order to give a general definition of matrix-valued Hilbert modular forms. We prove that they ad…
math.NT2025
Kolyvagin's conjecture for modular forms at non-ordinary primes
Enrico Da Ronche
In this article we prove a version of Kolyvagin's conjecture for modular forms at non-ordinary primes. In particular, we generalize the work of Wang on a converse to a higher weigh…