TY - JOUR AB - 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. AU - Kurihara, Masato DA - 2014 LA - eng IS - Münster Journal of Mathematics M2 - 149 PY - 2014 SP - 149-223 T2 - Münster Journal of Mathematics TI - Refined Iwasawa theory for p-adic representations and the structure of Selmer groups UR - https://nbn-resolving.org/urn:nbn:de:hbz:6-22359593713 Y2 - 2024-11-22T05:46:21 ER -