Stickelberger elements, Fitting ideals of class groups of CM-fields, and dualisation

DOI10.1007/s00209-008-0306-9zbMath1159.11042OpenAlexW2095405532MaRDI QIDQ957909

Masato Kurihara, Cornelius Greither

Publication date: 1 December 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-008-0306-9

zbMATH Keywords

annihilatorFitting idealStickelberger element

Mathematics Subject Classification ID

Iwasawa theory (11R23)

Related Items (18)

On the structure of the module of Euler systems for a \(p\)-adic representation ⋮ On stronger versions of Brumer's conjecture ⋮ On the Brumer-Stark conjecture and refinements ⋮ Fitting ideals of class groups for CM abelian extensions ⋮ Ideal class groups of CM-fields with non-cyclic Galois action ⋮ On non-abelian Stark-type conjectures ⋮ Stickelberger ideals and Fitting ideals of class groups for abelian number fields ⋮ Stickelberger series and main conjecture for function fields ⋮ Fitting ideals in number theory and arithmetic ⋮ Integrality of Stickelberger elements attached to unramified extensions of imaginary quadratic fields ⋮ On the equivariant Tamagawa number conjecture in tame CM-extensions ⋮ Iwasawa main conjecture for the Carlitz cyclotomic extension and applications ⋮ Fitting invariants in equivariant Iwasawa theory ⋮ CONTROL THEOREMS FOR ELLIPTIC CURVES OVER FUNCTION FIELDS ⋮ Tate sequences and Fitting ideals of Iwasawa modules ⋮ On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture ⋮ Notes on the dual of the ideal class groups of CM-fields ⋮ On the Brumer-Stark conjecture

Cites Work

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• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• The Iwasawa conjecture for totally real fields
• Pairs of Matrices With Property L. II
• A note on commuting pairs of matrices
• Iwasawa theory and Fitting ideals
• Stark's question and a refinement of Brumer's conjecture extrapolated to the function field case
• Determining Fitting ideals of minus class groups via the equivariant Tamagawa number conjecture

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