{"title":"驯服基群在代数闭域间基数变化下的不变性","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":"{\"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}","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}
Invariance of the tame fundamental group under base change between algebraically closed fields
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 $p \geq 0$.