{"title":"Coincidence of two Swan conductors of abelian characters","authors":"Kazuya Kato, Takeshi Saito","doi":"10.46298/epiga.2019.volume3.5395","DOIUrl":null,"url":null,"abstract":"There are two ways to define the Swan conductor of an abelian character of\nthe absolute Galois group of a complete discrete valuation field. We prove that\nthese two Swan conductors coincide.\n\n Comment: 16 pages. Formatted using epigamath.sty","PeriodicalId":41470,"journal":{"name":"Epijournal de Geometrie Algebrique","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2019-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Epijournal de Geometrie Algebrique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2019.volume3.5395","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 4
Abstract
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.
Comment: 16 pages. Formatted using epigamath.sty
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