Formules de classes pour les corps abéliens réels. (Class formulae for real Abelian fields)
From MaRDI portal
Publication:5944298
DOI10.5802/aif.1840zbMath1007.11063OpenAlexW2327261820MaRDI QIDQ5944298
Thong Nguyen Quang Do, Jean-Robert Belliard
Publication date: 8 October 2001
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_2001__51_4_903_0
Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Cyclotomic extensions (11R18)
Related Items (8)
SUR LA CONJECTURE FAIBLE DE GREENBERG DANS LE CAS ABÉLIEN p-DÉCOMPOSÉ ⋮ Les nombres de Tamagawa locaux et la conjecture de Bloch et Kato pour les motifs sur un corps abélien ⋮ Fitting ideals of isotypic parts of even K-groups ⋮ The Bloch-Kato conjecture on special values of \(L\)-functions. A survey of known results. ⋮ Bloch-Kato conjecture and Main Conjecture of Iwasawa theory for Dirichlet characters ⋮ Eigenspaces of the ideal class group ⋮ Cyclotomic units and class groups in p-extensions of real abelian fields ⋮ Semilocal units modulo Gauss sums.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Class fields of abelian extensions of \(\mathbb Q\)
- Class groups of abelian fields, and the main conjecture
- On the Stickelberger ideal and the circular units of an abelian field
- Regulators and Iwasawa modules
- Classes d'idéaux des corps abéliens et nombres de Bernoulli généralisés
- Unités cyclotomiques, unités semi-locales et \(\mathbb{Z}_\ell\)-extensions
- On the Stickelberger ideal and the circular units of a cyclotomic field
- Unités cyclotomiques, unités semilocales et \(\mathbb{Z}_\ell\)-extensions. II
- Remarques sur les unites cyclotomiques et les unites elliptiques
- On the Galois structure of circular units in \(\mathbb{Z}_p\)-extensions
- The structure of some minus class groups, and Chinburg's third conjecture for abelian fields
- Semi-local units modulo cyclotomic units
- Galois relations for cyclotomic numbers and \(p\)-units
- On the cyclotomic unit group and the ideal class group of a real abelian number field
- On the cyclotomic unit group and the ideal class group of a real abelian number field. II
- On a construction of \(p\)-units in abelian fields
- Logarithmic classes of number fields
- Twisted \(S\)-units, \(p\)-adic class number formulas, and the Lichtenbaum conjectures
- On some modules in the theory of cyclotomic fields
- The Iwasawa conjecture for totally real fields
- The ring of integers of an abelian number field.
- Sur la capitulation dans une Zl-extension.
- On the Iwasawa Invariants of Totally Real Number Fields
- Relative Galois module structure of integers of local abelian fields
- Fitting ideals of class groups in a $ℤ_p$-extension
- On formulae for the class number of real Abelian fields
- THE TATE MODULE FOR ALGEBRAIC NUMBER FIELDS
This page was built for publication: Formules de classes pour les corps abéliens réels. (Class formulae for real Abelian fields)