Definable henselian valuations in positive residue characteristic
| Autor: | Ketelsen, Margarete, Ramello, Simone, Szewczyk, Piotr |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 cases where the canonical henselian valuation has positive residue characteristic, using techniques from the model theory and algebra of tame fields. Comment: 23 pages, 3 figures, minor fixes, new section 6 containing examples |
| Databáze: | arXiv |
| Externí odkaz: |
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