{"title":"两个具有阿贝尔特征的天鹅导体的重合","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":"{\"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}","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}
Coincidence of two Swan conductors of abelian characters
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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