Selmer groups for elliptic curves in Z_l^d-extensions of function fields of characteristic p

Andrea Bandini, Ignazio Longhi

Let $F$ be a function field of characteristic $p>0$, $\F/F$ a Galois extension with $Gal(\F/F)\simeq \Z_l^d$ (for some prime $l\ne p$) and $E/F$ a non-isotrivial elliptic curve. W…