{"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}
引用次数: 0
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 $X$.
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