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  1. Definable Henselian Valuations in Positive Residue Characteristic.Margarete Ketelsen, Simone Ramello & Piotr Szewczyk - forthcoming - Journal of Symbolic Logic:1-26.
    We study the question of $\mathcal {L}_{\mathrm {ring}}$ -definability of non-trivial henselian valuation rings. Building on previous work of Jahnke and Koenigsmann, we provide a characterization of henselian fields that admit a non-trivial definable henselian valuation. In particular, we treat the cases where the canonical henselian valuation has positive residue characteristic, using techniques from the model theory and algebra of tame fields.
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