On the structure of Selmer groups of lambda-adic deformations over -adic Lie extensions

  • Sudhanshu Shekhar

  • R. Sujatha

On the structure of Selmer groups of lambda-adic deformations over $p$-adic Lie extensions cover
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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.

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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