10 citations · 30 across the 18 of their papers we have counts for
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math.LO2014
On the quantifier complexity of definable canonical henselian valuations
Arno Fehm, Franziska Jahnke
We discuss definability in the language of rings without parameters of the unique canonical henselian valuation of a field. We show that in most cases where the canonical henselian…
math.LO2014
Uniformly defining -henselian valuations
Franziska Jahnke, Jochen Koenigsmann
Admitting a non-trivial -henselian valuation is a weaker assumption on a field than admitting a non-trivial henselian valuation. Unlike henselianity, -henselianity is an elem…
math.AC2014★ 2 cited
Fields with almost small absolute Galois group
Arno Fehm, Franziska Jahnke
We construct and study fields F with the property that F has infinitely many extensions of some fixed degree, but E*/(E*)^n is finite for every finite extension E of F and every n>…