Refined Iwasawa theory for p-adic representations and the structure of Selmer groups

Titelaufnahme

Titel
Refined Iwasawa theory for p-adic representations and the structure of Selmer groups
Verfasser
Kurihara, Masato
Enthalten in
Münster Journal of Mathematics, H. Münster Journal of Mathematics, S. 149-223
Erschienen
2014
Sprache
Englisch
Dokumenttyp
Aufsatz in einer Zeitschrift
URN
urn:nbn:de:hbz:6-22359593713

Zugriffsbeschränkung

Links

Dateien

Klassifikation

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.

Statistik