Refined Iwasawa theory and Kolyvagin systems of Gauss sum type

DOI10.1112/plms/pdr044zbMath1242.11085OpenAlexW2091058269MaRDI QIDQ5390194

Masato Kurihara

Publication date: 27 April 2012

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/pdr044

zbMATH Keywords

Euler systemsKolyvagin systemsIwasawa moduleshigher Fitting ideals

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23)

Related Items (13)

Notes on the module of Euler systems for $p$-adic representations ⋮ Construction of anti-cyclotomic Euler systems of modular abelian varieties, and the ranks of their Mordell-Weil groups ⋮ On the higher Fitting ideals of Iwasawa modules of ideal class groups over real abelian fields ⋮ On higher Fitting ideals of Iwasawa modules of ideal class groups over imaginary quadratic fields and Euler systems of elliptic units ⋮ Stickelberger ideals and Fitting ideals of class groups for abelian number fields ⋮ On a new invariant determining the isomorphism classes of \(\Lambda\)-modules with \(\lambda = 3\) ⋮ Fitting ideals in number theory and arithmetic ⋮ On higher fitting ideals of certain Iwasawa modules associated with Galois representations and Euler systems ⋮ Notes on noncommutative fitting invariants (with an appendix by Henri Johnston and Andreas Nickel) ⋮ Iwasawa theory for class groups of CM fields with \(p = 2\) ⋮ On the theory of Kolyvagin systems of rank 0 ⋮ The Structure of Selmer Groups of Elliptic Curves and Modular Symbols ⋮ A higher rank Euler system for Gm over a totally real field

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