Propagation de la 2-birationalit\'e
Number Theory
2011-12-15 v1
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 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.
Cite
@article{arxiv.1112.3195,
title = {Propagation de la 2-birationalit\'e},
author = {Claire Bourbon and Jean-François Jaulent},
journal= {arXiv preprint arXiv:1112.3195},
year = {2011}
}