Tate sequences and Fitting ideals of Iwasawa modules

DOI10.1090/spmj/1428zbMath1359.11087OpenAlexW2524427428MaRDI QIDQ2822784

Masato Kurihara, Cornelius Greither

Publication date: 5 October 2016

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a63b69047dbc0125d4e764114c237d6f592cb3d4

zbMATH Keywords

cohomologyclass groupstotally real fieldsCM-fieldsTate sequences

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Related Items (6)

Fitting ideals in two-variable equivariant Iwasawa theory and an application to CM elliptic curves ⋮ Fitting ideals of class groups for CM abelian extensions ⋮ Fitting ideals in number theory and arithmetic ⋮ The second syzygy of the trivial \(G\)-module, and an equivariant main conjecture ⋮ Fitting invariants in equivariant Iwasawa theory ⋮ Fitting ideals of \(p\)-ramified Iwasawa modules over totally real fields

Cites Work

• On stronger versions of Brumer's conjecture
• Stickelberger ideals and Fitting ideals of class groups for abelian number fields
• Class fields of abelian extensions of \(\mathbb Q\)
• Stickelberger elements, Fitting ideals of class groups of CM-fields, and dualisation
• Fitting ideals of class groups of real fields with prime power conductor
• On the structure of ideal class groups of CM-fields
• Computing Fitting ideals of Iwasawa modules
• Ideal class groups of CM-fields with non-cyclic Galois action
• The Iwasawa conjecture for totally real fields
• Iwasawa theory and Fitting ideals
• Determining Fitting ideals of minus class groups via the equivariant Tamagawa number conjecture

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