Ideal class groups of CM-fields with non-cyclic Galois action

DOI10.3836/tjm/1358951328zbMath1276.11178OpenAlexW1989053128MaRDI QIDQ1943245

Masato Kurihara, Takashi Miura

Publication date: 19 March 2013

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1358951328

zbMATH Keywords

class groupsFitting idealBrumer's conjectureL-values

Mathematics Subject Classification ID

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

Related Items

Integrality of Stickelberger elements attached to unramified extensions of imaginary quadratic fields, Tate sequences and Fitting ideals of Iwasawa modules

Cites Work

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• On stronger versions of Brumer's conjecture
• On the equivariant Tamagawa number conjecture in tame CM-extensions
• Stickelberger ideals and Fitting ideals of class groups for abelian number fields
• 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.
• Stickelberger elements, Fitting ideals of class groups of CM-fields, and dualisation
• Values of abelian \(L\)-functions at negative integers over totally real fields
• On the ideal class groups of the maximal real subfields of number fields with all roots of unity
• The Iwasawa conjecture for totally real fields
• 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