12 citations · 12 across the 4 of their papers we have counts for
5 papers
On separable pairs of fields and beautiful pairs of separably closed valued fields
Zhengqing He, Martin Hils
We continue the study of beautiful pairs of henselian valued fields, initiated in joint work of the second author with Cubides Kovacsics and Ye. As our main result, we show that se…
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…
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…
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…
Valued difference fields and NTP2
Artem Chernikov, Martin Hils
We show that the theory of the non-standard Frobenius automorphism, acting on an algebraically closed valued field of equal characteristic 0, is NTP2. More generally, in the contra…