Some cases of Brumer's conjecture for abelian CM extensions of totally real fields

DOI10.1007/s002090050485zbMath0965.11047OpenAlexW2050324785WikidataQ123314046 ScholiaQ123314046MaRDI QIDQ1974150

Cornelius Greither

Publication date: 5 August 2001

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

Full work available at URL: https://doi.org/10.1007/s002090050485

zbMATH Keywords

Iwasawa theoryFitting ideal\(p\)-adic \(L\)-functionstotally real fieldBrumer's conjectureminus class groupabelian CM extensionsannihilators of class groupsChinburg's third conjecture

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) Totally real fields (11R80)

Related Items (17)

Equivariant Main Conjecture, Fitting ideals and annihilators in Iwasawa theory ⋮ Integrality of Stickelberger elements and the equivariant Tamagawa number conjecture ⋮ On a question of Hayes concerning integrality of Brumer elements ⋮ On derivatives of \(p\)-adic \(L\)-series at \(s = 0\) ⋮ The strong Stark conjecture for totally odd characters ⋮ On the minus component of the equivariant Tamagawa number conjecture for \(\mathbb{G}_m\) ⋮ Stickelberger ideals and Fitting ideals of class groups for abelian number fields ⋮ Fitting ideals in number theory and arithmetic ⋮ Iwasawa Theory, projective modules, and modular representations ⋮ Annihilators of minus class groups of imaginary Abelian fields ⋮ On the equivariant Tamagawa number conjecture in tame CM-extensions ⋮ On the equivariant Tamagawa number conjecture in tame CM-extensions, II ⋮ The Brumer-Stark conjecture in some families of extensions of specified degree ⋮ On the Coates-Sinnott Conjecture ⋮ Fitting ideals of class groups of real fields with prime power conductor ⋮ On the Brumer-Stark conjecture ⋮ On Equivariant Characteristic Ideals of Real Classes

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