Normes d'idéaux dans la tour cyclotomique et conjecture de greenberg
Résumé
Let k be a totally real number field and let k_∞ be its cyclotomic Z_p-extension for p totally split in k. This text completes our article entitled: ``Approche p-adique de la conjecture de Greenberg pour les corps totalement r\'eels'' (Annales Mathématiques Blaise Pascal 2017), by means of heuristics on the p-adic behavior of the norms, in k_n/k, of the ideals of k_n (nth stage of k_∞): an assumption of distribution of these norms should ensure that the algorithms of filtration of the p-class groups of the k_n are uniformly bounded (i.e., lambda=mu=0). Several statistics and numerical examples in the quadratic case confirm the probable exactness of such properties.
Origine | Fichiers produits par l'(les) auteur(s) |
---|
Loading...