Unstable arithmetic fracture squares in $\infty$-topoi
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866911857512546304 |
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| author | Mattis, Klaus |
| author_facet | Mattis, Klaus |
| contents | We show that for a large class of $\infty$-topoi
there exist unstable arithmetic fracture squares,
i.e. squares which recover a nilpotent sheaf $F$
as the pullback of the rationalization of $F$ with
the product of the $p$-completions of $F$ ranging over
all primes $p\in\mathbb Z$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18618 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unstable arithmetic fracture squares in $\infty$-topoi Mattis, Klaus Algebraic Topology We show that for a large class of $\infty$-topoi there exist unstable arithmetic fracture squares, i.e. squares which recover a nilpotent sheaf $F$ as the pullback of the rationalization of $F$ with the product of the $p$-completions of $F$ ranging over all primes $p\in\mathbb Z$. |
| title | Unstable arithmetic fracture squares in $\infty$-topoi |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2404.18618 |