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arXiv · 1403.6693

A characterization of strictly APF extensions

Bryden Cais·Christopher Davis·Jonathan Lubin
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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.

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Bryden Cais, Christopher Davis, Jonathan Lubin. 2014-03-26. A characterization of strictly APF extensions. https://arxiv.org/abs/1403.6693

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