An example of non-cotorsion Selmer group
Journal
Proceedings of the American Mathematical Society
Journal Volume
143
Journal Issue
6
Pages
2355-2364
Date Issued
2015
Author(s)
Abstract
Let A/K be an elliptic curve over a global field of characteristic p > 0. We provide an example where the Pontrjagin dual of the Selmer group of A over a Γ := ℤp-extension L/K is not a torsion ℤp[[Γ]]-module and show that the Iwasawa Main Conjecture for A/L holds nevertheless.
SDGs
Type
journal article