On non-abelian Stark-type conjectures

DOI10.5802/aif.2683zbMath1246.11176OpenAlexW2324217161WikidataQ123146291 ScholiaQ123146291MaRDI QIDQ424851

Andreas Nickel

Publication date: 6 June 2012

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

Full work available at URL: http://www.numdam.org/item?id=AIF_2011__61_6_2577_0/

zbMATH Keywords

annihilatorsmaximal ordersnoncommutative ringsreduced normsFitting idealsBrumer conjectureBrumer-Stark

Mathematics Subject Classification ID

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

Related Items

On non-abelian higher special elements of \(p\)-adic representations ⋮ On derivatives of \(p\)-adic \(L\)-series at \(s = 0\) ⋮ 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 ⋮ On derivatives of Artin \(L\)-series ⋮ 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 ⋮ Annihilating wild kernels ⋮ Notes on noncommutative fitting invariants (with an appendix by Henri Johnston and Andreas Nickel) ⋮ On higher order Stickelberger-type theorems ⋮ On the \(p\)-adic Beilinson conjecture and the equivariant Tamagawa number conjecture ⋮ On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture ⋮ Notes on the dual of the ideal class groups of CM-fields ⋮ On non-abelian Brumer and Brumer–Stark conjecture for monomial CM-extensions ⋮ Conjectures of Brumer, Gross and Stark

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