Propagation de la 2-birationalité
Langue
fr
Article de revue
Ce document a été publié dans
Acta Arithmetica. 2013, vol. 160, n° 3, p. 285--301
Instytut Matematyczny PAN
Résumé en anglais
Let L/K be a 2-birational CM-extension of a totally real 2-rational number field. We characterize in terms of tame ramification totally real 2-extensions K′/K such that the compositum L′= LK′ is still 2-birational. In case ...Lire la suite >
Let L/K be a 2-birational CM-extension of a totally real 2-rational number field. We characterize in terms of tame ramification totally real 2-extensions K′/K such that the compositum L′= LK′ is still 2-birational. In case the 2-extensions K′/K is linearly disjoint from the cyclotomic Z2-extension Kc/K, we prove that K′/K is at most quadratic. In the other hand we construct infinite towers of such 2-extensions.< Réduire
Mots clés en anglais
class field theory
2-rational fields
2-birational fields
Origine
Importé de halUnités de recherche