The "Galois Correspondence" for n-Stacks
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915292194537472 |
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| author | Yao, Yuxiang |
| author_facet | Yao, Yuxiang |
| contents | 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 étale over a connected scheme $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00281 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The "Galois Correspondence" for n-Stacks Yao, Yuxiang Algebraic Topology Algebraic Geometry 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 étale over a connected scheme $X$. |
| title | The "Galois Correspondence" for n-Stacks |
| topic | Algebraic Topology Algebraic Geometry |
| url | https://arxiv.org/abs/2408.00281 |