The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems

DOI10.5802/aif.1900zbMath1041.11074OpenAlexW2500643792WikidataQ123346938 ScholiaQ123346938MaRDI QIDQ1613960

Radan Kučera, Cornelius Greither

Publication date: 3 September 2002

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2002__52_3_735_0

zbMATH Keywords

Euler systemslifted Chinburg conjecture

Mathematics Subject Classification ID

Class field theory (11R37) Cyclotomic extensions (11R18) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (2)

l-Class groups of cyclic extensions of prime degree l ⋮ On bases of Washington's group of circular units of some real cyclic number fields

Cites Work

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• On Chinburg's root number conjecture
• On the equivariant Tamagawa number conjecture for Tate motives
• Circulant Graphs and 4-Ranks of Ideal Class Groups
• A Local Approach to Chinburg's Root Number Conjecture
• The Lifted Root Number Conjecture for some cyclic extensions of ℚ
• Arithmetischer Beweis des Satzes über die Anzahl der durch vier teilbaren Invarianten der absoluten Klassengruppe im quadratischen Zahlkörper.

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