{"title":"The Galois Correspondence for n-Stacks","authors":"Yuxiang Yao","doi":"arxiv-2408.00281","DOIUrl":null,"url":null,"abstract":"We prove a Galois correspondence for $n$-stacks. It gives a correspondence\nbetween the $\\infty$-category of Deligne-Mumford $n$-stacks finite \\'etale over\na connected scheme $X$ and the $\\infty$-category of $n$-stacks of finite sets\nwith an action of the fundamental group of $X$.","PeriodicalId":501119,"journal":{"name":"arXiv - MATH - Algebraic Topology","volume":"75 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Algebraic Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.00281","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
We prove a Galois correspondence for $n$-stacks. It gives a correspondence
between the $\infty$-category of Deligne-Mumford $n$-stacks finite \'etale over
a connected scheme $X$ and the $\infty$-category of $n$-stacks of finite sets
with an action of the fundamental group of $X$.
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