A Local Approach to Chinburg's Root Number Conjecture

DOI10.1112/S0024611599011922zbMath1041.11075OpenAlexW1997392769WikidataQ122909293 ScholiaQ122909293MaRDI QIDQ4487566

K. W. Gruenberg, Alfred Weiss, Juergen Ritter

Publication date: 22 June 2000

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024611599011922

Mathematics Subject Classification ID

Units and factorization (11R27) Zeta functions and (L)-functions of number fields (11R42) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) (K_0) of group rings and orders (19A31) (K_1) of group rings and orders (19B28)

Related Items (14)

The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems ⋮ Equivariant epsilon constant conjectures for weakly ramified extensions ⋮ Integrality of Stickelberger elements and the equivariant Tamagawa number conjecture ⋮ Local and global fundamental classes for multiquadratic extensions ⋮ The strong Stark conjecture for totally odd characters ⋮ On non-abelian Stark-type conjectures ⋮ On the p‐adic Stark conjecture at s=1 and applications ⋮ THE EQUIVALENCE OF RUBIN'S CONJECTURE AND THE ETNC/LRNC FOR CERTAIN BIQUADRATIC EXTENSIONS ⋮ On the equivariant Tamagawa number conjecture in tame CM-extensions ⋮ Non-commutative Fitting invariants and annihilation of class groups ⋮ On the equivariant Tamagawa number conjecture for Tate motives and unconditional annihilation results ⋮ Annihilating wild kernels ⋮ On the equivariant Tamagawa number conjecture in tame CM-extensions, II ⋮ Conjectures of Brumer, Gross and Stark

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