On the Structure of Selmer Groups of Λ-Adic Deformations over p-Adic Lie Extensions

نویسندگان

  • Sudhanshu Shekhar
  • R. Sujatha
  • Peter Schneider
چکیده

In this paper, we consider the Λ-adic deformations of Galois representations associated to elliptic curves. We prove that the Pontryagin dual of the Selmer group of a Λ-adic deformation over certain p-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. 2010 Mathematics Subject Classification: 14H52, 11F80, 11R34

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تاریخ انتشار 2011