Stickelberger ideals and Fitting ideals of class groups for abelian number fields
From MaRDI portal
Publication:634797
DOI10.1007/s00208-010-0570-yzbMath1235.11099OpenAlexW2058659591MaRDI QIDQ634797
Takashi Miura, Masato Kurihara
Publication date: 16 August 2011
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-010-0570-y
Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Other abelian and metabelian extensions (11R20)
Related Items
On stronger versions of Brumer's conjecture, Fitting ideals of class groups for CM abelian extensions, Ideal class groups of CM-fields with non-cyclic Galois action, Notes on noncommutative fitting invariants (with an appendix by Henri Johnston and Andreas Nickel), Tate sequences and Fitting ideals of Iwasawa modules, Correction to: Stickelberger ideals and fitting ideals of class groups for abelian number fields, Iwasawa theory for class groups of CM fields with \(p = 2\), Notes on the dual of the ideal class groups of CM-fields
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Class fields of abelian extensions of \(\mathbb Q\)
- The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
- On the class groups of imaginary abelian fields
- Stickelberger elements, Fitting ideals of class groups of CM-fields, and dualisation
- Values of abelian \(L\)-functions at negative integers over totally real fields
- The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
- On the Stickelberger ideal and the circular units of an abelian field
- On the Stickelberger ideal and the circular units of a cyclotomic field
- On the structure of ideal class groups of CM-fields
- Some cases of Brumer's conjecture for abelian CM extensions of totally real fields
- The Iwasawa conjecture for totally real fields
- On a conjecture of Brumer
- Iwasawa theory and Fitting ideals
- Refined Iwasawa theory and Kolyvagin systems of Gauss sum type
- Determining Fitting ideals of minus class groups via the equivariant Tamagawa number conjecture