On the equivariant Tamagawa number conjecture in tame CM-extensions

DOI10.1007/s00209-009-0658-9zbMath1222.11133OpenAlexW2073316453WikidataQ123219157 ScholiaQ123219157MaRDI QIDQ543308

Andreas Nickel

Publication date: 17 June 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-009-0658-9

zbMATH Keywords

Fitting idealsCM-extensionsequivariant L-valuesrelative K-groupsTate sequences

Mathematics Subject Classification ID

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

Related Items (19)

Integrality of Stickelberger elements and the equivariant Tamagawa number conjecture ⋮ On free resolutions of Iwasawa modules ⋮ A Brumer-Stark conjecture for non-abelian Galois extensions ⋮ The strong Stark conjecture for totally odd characters ⋮ Fitting ideals of class groups for CM abelian extensions ⋮ Ideal class groups of CM-fields with non-cyclic Galois action ⋮ On the minus component of the equivariant Tamagawa number conjecture for \(\mathbb{G}_m\) ⋮ On non-abelian Stark-type conjectures ⋮ On derivatives of Artin \(L\)-series ⋮ On formal groups and Tate cohomology in local fields ⋮ 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 ⋮ Non-commutative Fitting invariants and annihilation of class groups ⋮ 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 ⋮ On the Brumer-Stark conjecture

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