A Comparison Theorem For The Pro-étale Fundamental Group

Pub Date : 2024-07-08 DOI:10.1093/imrn/rnae150
Jiu-Kang Yu, Lei Zhang
{"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 $X$.
分享
查看原文
原阶梯基本群比较定理
设 $X$ 是在 ${{mathbb{C}}$ 上局部有限类型的连通方案,并设 $X^{textrm{an}$ 是其相关的解析空间。在本文中,我们定义了一个从 $X^{\textrm{an}$ 的拓扑基群到 $X$ 的近似基群的比较映射。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信