On Selmer groups of abelian varieties over $\ell$-adic Lie extensions of global function fields

Andrea Bandini, Maria Valentino

Let $F$ be a global function field of characteristic $p>0$ and $A/F$ an abelian variety. Let $K/F$ be an $ł$-adic Lie extension ($ł\ne p$) unramified outside a finite set of prime…