The "Galois Correspondence" for n-Stacks

Yuxiang Yao

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arXiv · 2408.00281

The "Galois Correspondence" for n-Stacks

Yuxiang Yao

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Abstract

We prove an essentially surjective Galois-correspondence-like functor for $n$-stacks. More specifically, it gives an essentially surjective functor from the $\infty$-category of $n$-stacks of finite sets with an action of the fundamental group of $X$ to the $\infty$-category of Deligne-Mumford $n$-stacks finite \'etale over a connected scheme $X$.

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Yuxiang Yao. 2024-08-01. The "Galois Correspondence" for n-Stacks. https://arxiv.org/abs/2408.00281

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