2 citations · 3 across the 5 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★ 1 cited
The elementary theory of large fields of totally S-adic numbers
Arno Fehm
We analyze the elementary theory of certain fields of totally S-adic algebraic numbers that were introduced and studied by Geyer-Jarden and Haran-Jarden-Pop. In particular, we prov…
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>…