2014/03/26 by Cais, Bryden, Davis, Christopher, Lubin, Jonathan · 1 citation
#11S15 #11S20 #11S82 #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1403.6693
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.