{"title":"原阶梯基本群比较定理","authors":"Jiu-Kang Yu, Lei Zhang","doi":"10.1093/imrn/rnae150","DOIUrl":null,"url":null,"abstract":"Let $X$ be a connected scheme locally of finite type over ${\\mathbb{C}}$, and let $X^{\\textrm{an}}$ be its associated analytic space. In this paper, we define a comparison map from the topological fundamental group of $X^{\\textrm{an}}$ to the pro-étale fundamental group of $X$.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Comparison Theorem For The Pro-étale Fundamental Group\",\"authors\":\"Jiu-Kang Yu, Lei Zhang\",\"doi\":\"10.1093/imrn/rnae150\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let $X$ be a connected scheme locally of finite type over ${\\\\mathbb{C}}$, and let $X^{\\\\textrm{an}}$ be its associated analytic space. In this paper, we define a comparison map from the topological fundamental group of $X^{\\\\textrm{an}}$ to the pro-étale fundamental group of $X$.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-07-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1093/imrn/rnae150\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1093/imrn/rnae150","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Comparison Theorem For The Pro-étale Fundamental Group
Let $X$ be a connected scheme locally of finite type over ${\mathbb{C}}$, and let $X^{\textrm{an}}$ be its associated analytic space. In this paper, we define a comparison map from the topological fundamental group of $X^{\textrm{an}}$ to the pro-étale fundamental group of $X$.
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