Variation of Shafarevich-Tate groups in Hida families

Enrico Da Ronche, Matteo Longo, Stefano Vigni +1

Let $\mathbf{f}$ 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…