On the structure of Selmer groups of lambda-adic deformations over -adic Lie extensions
Sudhanshu Shekhar
R. Sujatha
Abstract
In this paper, we consider the -adic deformations of Galois representations associated to elliptic curves. We prove that the Pontryagin dual of the Selmer group of a -adic deformation over certain -adic Lie extensions of a number field, that are not necessarily commutative, has no non-zero pseudo-null submodule. We also study the structure of various arithmetic Iwasawa modules associated to such deformations.
Cite this article
Sudhanshu Shekhar, R. Sujatha, On the structure of Selmer groups of lambda-adic deformations over -adic Lie extensions. Doc. Math. 17 (2012), pp. 573–606
DOI 10.4171/DM/376