Defining coarsenings of valuations
| Autor: | Jahnke, Franziska, Koenigsmann, Jochen |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| Popis: | We study the question which henselian fields admit definable henselian valuations (with or without parameters). We show that every field which admits a henselian valuation with non-divisible value group admits a parameter-definable (non-trivial) henselian valuation. In equicharacteristic $0$, we give a complete characterization of henselian fields admitting a parameter-definable (non-trivial) henselian valuation. We also obtain partial characterization results of fields admitting 0-definable (non-trivial) henselian valuations. We then draw some Galois-theoretic conclusions from our results. Comment: 19 pages |
| Databáze: | arXiv |
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