S. Vigni

activity

20082026

most citedTorsion points on elliptic curves over function fields and a theorem of Igusa

19 citations · 44 across the 24 of their papers we have counts for

collaborators

Showing 2026 · math.NTShow all

5 papers · 2 filters

math.NT2026

Variation of Shafarevich-Tate groups in Hida families

Enrico Da Ronche, Matteo Longo, Stefano Vigni +1

Let $f$ be a Hida family of cusp forms over a standard (power series) Iwasawa algebra. We determine the pseudo-isomorphism class of the big Shafarevich-Tate group attached…

math.NT2026

Analytic rank one propagation in Hida families

Stefano Vigni

Let $f$ be a non-CM newform of weight $k \geq 4$ , level $N$ and trivial Nebentypus. Let $p ∤ N$ be an odd prime number that is ordinary for $f$ and denote by $f^{(p)}$ …

math.NT2026

Euler systems and the symmetric square of a Hida family

Debanjana Kundu, Jishnu Ray, Stefano Vigni

Let $p \geq 7$ be a prime number. We build a non-trivial Euler system for the symmetric square of a $p$ -adic Hida family of modular forms interpolating the Euler system constructed b…

math.NT2026

Higher Fitting ideals and the structure of anticyclotomic Shafarevich-Tate groups

Enrico Da Ronche, Matteo Longo, Stefano Vigni

Let $p$ 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

Anticyclotomic Iwasawa main conjectures for modular forms

Matteo Longo, Maria Rosaria Pati, Stefano Vigni

Let $f$ be a newform of even weight at least $4$ , level $N$ and trivial character. Let $p ∤ N$ be an odd prime number that is ordinary for $f$ and let $K$ be an imaginary quadra…