On non-abelian Brumer and Brumer–Stark conjecture for monomial CM-extensions

DOI10.1142/S1793042114500018zbMath1296.11149arXiv1307.1279WikidataQ123277602 ScholiaQ123277602MaRDI QIDQ5494546

Jiro Nomura

Publication date: 28 July 2014

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

Full work available at URL: https://arxiv.org/abs/1307.1279

zbMATH Keywords

class groupsmonomial groupsannihilationBrumer-Stark conjectureequivariant \(L\)-values

Mathematics Subject Classification ID

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

Related Items (7)

Integrality of Stickelberger elements and the equivariant Tamagawa number conjecture ⋮ A Brumer-Stark conjecture for non-abelian Galois extensions ⋮ Annihilation of Selmer groups for monomial CM-extensions ⋮ The strong Stark conjecture for totally odd characters ⋮ Integrality of Stickelberger elements attached to unramified extensions of imaginary quadratic fields ⋮ On the semi-simple case of the Galois Brumer-Stark conjecture for monomial groups ⋮ Conjectures of Brumer, Gross and Stark

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