Propagation de la 2-birationalité
Language
fr
Article de revue
This item was published in
Acta Arithmetica. 2013, vol. 160, n° 3, p. 285--301
Instytut Matematyczny PAN
English Abstract
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 ...Read more >
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.Read less <
English Keywords
class field theory
2-rational fields
2-birational fields
Origin
Hal imported