Integrality of Stickelberger elements attached to unramified extensions of imaginary quadratic fields

DOI10.1016/J.JNT.2017.11.003zbMath1404.11131OpenAlexW2774817916MaRDI QIDQ1747231

Jiro Nomura

Publication date: 4 May 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.11.003

zbMATH Keywords

imaginary quadratic fieldsclass groupsunramified extensionsStickelberger elements\(L\)-valuesBrumer's conjecture

Mathematics Subject Classification ID

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

Related Items (1)

On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• On zeta elements for \(\mathbb G_m\)
• A note on the Galois Brumer-Stark conjecture
• A Brumer-Stark conjecture for non-abelian Galois extensions
• On non-abelian Stark-type conjectures
• On the equivariant Tamagawa number conjecture in tame CM-extensions
• On derivatives of Artin \(L\)-series
• 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
• Non-commutative Fitting invariants and annihilation of class groups
• Ideal class groups of CM-fields with non-cyclic Galois action
• Noncommutative Fitting invariants and improved annihilation results
• A non-abelian Stickelberger theorem
• An Equivariant Main Conjecture in Iwasawa theory and applications
• On the equivariant Tamagawa number conjecture in tame CM-extensions, II
• On non-abelian Brumer and Brumer–Stark conjecture for monomial CM-extensions
• Tamagawa numbers for motives with (non-commutative) coefficients

This page was built for publication: Integrality of Stickelberger elements attached to unramified extensions of imaginary quadratic fields