{"title":"Invariance of the tame fundamental group under base change between algebraically closed fields","authors":"Aaron Landesman","doi":"10.2140/ent.2024.3.1","DOIUrl":null,"url":null,"abstract":"We show that the tame \\'etale fundamental group of a connected normal finite type separated scheme remains invariant upon base change between algebraically closed fields of characteristic $p \\geq 0$.","PeriodicalId":338657,"journal":{"name":"Essential Number Theory","volume":"55 21","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Essential Number Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/ent.2024.3.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
We show that the tame \'etale fundamental group of a connected normal finite type separated scheme remains invariant upon base change between algebraically closed fields of characteristic $p \geq 0$.