A characterization of strictly APF extensions
Number Theory
2014-03-27 v1
Abstract
Let K denote a finite extension of Qp. We give necessary and sufficient conditions for an infinite totally wildly ramified extension L/K to be strictly APF in the sense of Fontaine-Wintenberger. Our conditions are phrased in terms of the existence of a certain tower of intermediate subfields. These conditions are well-suited to producing examples of strictly APF extensions, and in particular, our main theorem proves that the phi-iterate extensions previously considered by the first two authors are strictly APF.
Keywords
Cite
@article{arxiv.1403.6693,
title = {A characterization of strictly APF extensions},
author = {Bryden Cais and Christopher Davis and Jonathan Lubin},
journal= {arXiv preprint arXiv:1403.6693},
year = {2014}
}