Determining Fitting ideals of minus class groups via the equivariant Tamagawa number conjecture
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Publication:5434669
DOI10.1112/S0010437X07002965zbMath1135.11060OpenAlexW2072702068WikidataQ122900654 ScholiaQ122900654MaRDI QIDQ5434669
Manuel Breuning, David J. Burns
Publication date: 7 January 2008
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/s0010437x07002965
Zeta functions and (L)-functions of number fields (11R42) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Galois cohomology (11R34)
Related Items (16)
Numerical evidence for the equivariant Birch and Swinnerton-Dyer conjecture (Part II) ⋮ Equivariant epsilon constant conjectures for weakly ramified extensions ⋮ Integrality of Stickelberger elements and the equivariant Tamagawa number conjecture ⋮ Algorithmic proof of the epsilon constant conjecture ⋮ The strong Stark conjecture for totally odd characters ⋮ On derivatives of Artin \(L\)-series ⋮ Fitting ideals in number theory and arithmetic ⋮ On the p‐adic Stark conjecture at s=1 and applications ⋮ On twisted zeta-functions at \(s=0\) and partial zeta-functions at \(s=1\) ⋮ Stickelberger elements, Fitting ideals of class groups of CM-fields, and dualisation ⋮ On the equivariant Tamagawa number conjecture in tame CM-extensions ⋮ On the equivariant Tamagawa number conjecture for Tate motives and unconditional annihilation results ⋮ Annihilating wild kernels ⋮ 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 ⋮ Conjectures of Brumer, Gross and Stark
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