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Paper detail

A characterization of strictly APF extensions

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.

preprint2014arXivOpen access
Bryden CaisChristopher DavisJonathan Lubin
math.NT
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Bryden CaisChristopher DavisJonathan Lubin

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