3 papers
math.LO2022
An Approximate AKE Principle for Metric Valued Fields
Martin Hils, Stefan Marian Ludwig
We study metric valued fields in continuous logic, following Ben Yaacov's approach, thus working in the metric space given by the projective line. As our main result, we obtain an…
math.LO2021
One dimensional commutative groups definable in algebraically closed valued fields and in the pseudo-local fields
Juan Pablo Acosta, Martin Hils
We give a complete list of the one-dimensional groups definable in algebraically closed valued fields and i the pseudo-local fields, up to a finite index subgroup and a quotient by…
math.LO2016
Imaginaries in separably closed valued fields
Martin Hils, Moshe Kamensky, Silvain Rideau
We show that separably closed valued fields of finite imperfection degree (either with lambda-functions or commuting Hasse derivations) eliminate imaginaries in the geometric langu…