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math.LO2026★ 4 cited
Ax-Kochen-Ershov principles for finitely ramified henselian fields
Sylvy Anscombe, Philip Dittmann, Franziska Jahnke
We study the model theory of finitely ramified henselian valued fields of fixed initial ramification, obtaining versions of the Ax-Kochen-Ershov principle as follows. We identify t…
math.LO2026
On the existential theory of the completions of a global field
Philip Dittmann, Arno Fehm
We discuss the common existential theory of all or almost all completions of a global function field.
math.LO2025
When is the étale open topology a field topology?
Philip Dittmann, Erik Walsberg, Jinhe Ye
We investigate the following question: Given a field , when is the étale open topology induced by a field topology? On the positive side, when is the fracti…