On the Visibility category of the Shafarevich--Tate group

Barinder S. Banwait, Jerson Caro, Shiva Chidambaram

Given an elliptic curve $E$ over $\Q$ and a nontrivial element $\sigma$ of its Shafarevich--Tate group $\Sha(E)$, we introduce the \textbf{Visualization category} $\V(E; σ)$ of abelian…