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Bibliographic Metadata

  • Title
    Refined Iwasawa theory for p-adic representations and the structure of Selmer groups
  • Author
    Kurihara, Masato
  • Is part of
    Münster Journal of Mathematics, Issue Münster Journal of Mathematics, page 149-223
  • Published
    2014
  • Language
    English
  • Document type
    Journal Article
  • URN
    urn:nbn:de:hbz:6-22359593713 
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  •  The document is publicly available on the WWW
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Abstract
  • In this paper, we develop the idea in [16] to obtain finer results on the structure of Selmer modules for p-adic representations than the usual main conjecture in Iwasawa theory. We determine the higher Fitting ideals of the Selmer modules under several assumptions. Especially, we describe the structure of the classical Selmer group of an elliptic curve over Q, using the ideals defined from modular symbols. We also develop the theory of Euler systems and Kolyvagin systems of Gauss sum type.