n 堆栈的伽罗瓦对应关系

arXiv - MATH - Algebraic Topology Pub Date : 2024-08-01 DOI:arxiv-2408.00281

Yuxiang Yao

引用次数: 0

摘要

我们证明了 $n$ 堆栈的伽罗瓦对应关系。它给出了在连通方案$X$上的德利尼-蒙福德$n$栈的$infty$-category finite \'etale与具有$X$基本群作用的有限集的$n$栈的$infty$-category之间的对应关系。

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The Galois Correspondence for n-Stacks

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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arXiv - MATH - Algebraic Topology

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