On Tate-Shafarevich groups of abelian varieties

Cristian D. Gonzalez-Avilés

Let $K/F$ be a finite Galois extension of number fields with Galois group $G$, let $A$ be an abelian variety defined over $F$, and let ${\cyr W}(A_{^{/ K}})$ and ${\cyr W}(A_{^{/ F…