A characterization of strictly APF extensions

Bryden Cais, Christopher Davis, Jonathan Lubin

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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 φ-iterate extensions previously considered by the first two authors are strictly APF.

Original languageEnglish (US)
Pages (from-to)417-430
Number of pages14
JournalJournal de Theorie des Nombres de Bordeaux
Volume28
Issue number2
DOIs
StatePublished - 2016

Keywords

  • Arithmetically profinite extensions
  • Non-Archimedean dynamical systems
  • Ramification theory

ASJC Scopus subject areas

  • Algebra and Number Theory

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