Equivalence of Valued Fields with Valuation Preserving Automorphism

Abstract

We improve results of Belair, Macintyre, and Scanlon on valued fields with a valuation preserving automorphism by weakening their assumptions on the residue difference field. In the equicharacteristic zero case we also determine the induced structure on the residue difference field and the value group.

arXiv commentSeveral corrections on November 2009