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- W4299814114 abstract "We previously obtained a generalization and refinement of results about the ramification theory of Artin-Schreier extensions of discretely valued fields in characteristic $p$ with perfect residue fields to the case of fields with more general valuations and residue fields. As seen in VT16, the defect case gives rise to many interesting complications. In this paper, we present analogous results for degree $p$ extensions of arbitrary valuation rings in mixed characteristic $(0,p)$ in a more general setting. More specifically, the only assumption here is that the base field $K$ is henselian. In particular, these results are true for defect extensions even if the rank of the valuation is greater than $1$. A similar method also works in equal characteristic, generalizing the results of VT16." @default.
- W4299814114 created "2022-10-03" @default.
- W4299814114 creator A5034319557 @default.
- W4299814114 date "2017-07-06" @default.
- W4299814114 modified "2023-09-26" @default.
- W4299814114 title "Ramification theory for degree $p$ extensions of arbitrary valuation rings in mixed characteristic $(0,p)$" @default.
- W4299814114 doi "https://doi.org/10.48550/arxiv.1707.01692" @default.
- W4299814114 hasPublicationYear "2017" @default.
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