Defining coarsenings of valuations

We study the question of which Henselian fields admit definable Henselian valuations (with or without parameters). We show that every field that admits a Henselian valuation with non-divisible value group admits a parameter-definable (non-trivial) Henselian valuation. In equicharacteristic 0, we giv...

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Bibliographic Details
Main Authors: Jahnke, F, Koenigsmann, J
Format: Journal article
Published: Cambridge University Press 2017