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math.LO2015
Henselianity in the language of rings
Sylvy Anscombe, Franziska Jahnke
We consider four properties of a field related to the existence of (definable) henselian valuations on and on elementarily equivalent fields, and study the implications bet…
math.LO2015★ 1 cited
One-dimensional F-definable sets in F((t))
Sylvy Anscombe
In this note we study one-dimensional definable sets in power series fields with perfect residue fields. Using the description of automorphisms given by Schilling, in \cite{S44}, w…
math.LO2015★ 18 cited
The existential theory of equicharacteristic henselian valued fields
Sylvy Anscombe, Arno Fehm
We study the existential (and parts of the universal-existential) theory of equicharacteristic henselian valued fields. We prove, among other things, an existential Ax-Kochen-Ersho…