On stronger versions of Brumer's conjecture

DOI10.3836/tjm/1327931394zbMath1270.11117OpenAlexW2034907533WikidataQ123149360 ScholiaQ123149360MaRDI QIDQ410123

Masato Kurihara

Publication date: 3 April 2012

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

Full work available at URL: https://doi.org/10.3836/tjm/1327931394

zbMATH Keywords

Fitting ideal\(L\)-seriesBrumer's conjectureCM-extensionrefined Stark conjecture

Mathematics Subject Classification ID

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

Related Items (3)

Ideal class groups of CM-fields with non-cyclic Galois action ⋮ Tate sequences and Fitting ideals of Iwasawa modules ⋮ Fitting ideals of \(p\)-ramified Iwasawa modules over totally real fields

Cites Work

• 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
• Values of abelian \(L\)-functions at negative integers over totally real fields
• Riemann-Hurwitz formula and p-adic Galois representations for number fields
• 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
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On stronger versions of Brumer's conjecture