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There are two ways to define the Swan conductor of an abelian character of the absolute Galois group of a complete discrete valuation field. We prove that these two Swan conductors coincide.
Source : ScholeXplorer
IsRelatedTo ARXIV math/0010103 Source : ScholeXplorer IsRelatedTo DOI 10.1353/ajm.2002.0026 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.math/0010103
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