Geodesic
Coincidence of two Swan conductors of abelian characters
Épijournal de Géométrie Algébrique, Tome 3 (2019)

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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. 
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     author = {Kato, Kazuya and Saito, Takeshi},
     title = {Coincidence of two {Swan} conductors of abelian characters},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
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     volume = {3},
     year = {2019},
     doi = {10.46298/epiga.2019.volume3.5395},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2019.volume3.5395/}
}
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Kato, Kazuya; Saito, Takeshi. Coincidence of two Swan conductors of abelian characters. Épijournal de Géométrie Algébrique, Tome 3 (2019). doi: 10.46298/epiga.2019.volume3.5395

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