Selmer groups for elliptic curves in Z_l^d-extensions of function fields of characteristic p
| dc.creator | Bandini, Andrea | |
| dc.creator | Longhi, Ignazio | |
| dc.date | 2007-07-08 | |
| dc.date | 2009-01-28 | |
| dc.date.accessioned | 2026-07-07T12:34:38Z | |
| dc.date.available | 2026-07-07T12:34:38Z | |
| dc.description | 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 $l\neq p$) and $E/F$ a non-isotrivial elliptic curve. We study the behaviour of Selmer groups $Sel_E(L)_r$ ($r$ any prime) as $L$ varies through the subextensions of $\F$ via appropriate versions of Mazur's Control Theorem. As a consequence we prove that $Sel_E(\F)_r$ is a cofinitely generated (in some cases cotorsion) $\Z_r[[Gal(\F/F)]]$-module. | |
| dc.description | Final version to appear in Annales de l'Institut Fourier | |
| dc.identifier | https://arxiv.org/abs/0707.1143 | |
| dc.identifier | http://arxiv.org/abs/0707.1143 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217507 | |
| dc.subject | Number Theory | |
| dc.subject | 14H52; 11R23 | |
| dc.title | Selmer groups for elliptic curves in Z_l^d-extensions of function fields of characteristic p | |
| dc.type | text |