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math.AC2023
Beyond the Fontaine-Wintenberger theorem
Franziska Jahnke, Konstantinos Kartas
Given a perfectoid field, we find an elementary extension and a henselian defectless valuation on it, whose value group is divisible and whose residue field is an elementary extens…
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>…