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arXiv · 2404.18618

Unstable arithmetic fracture squares in $\infty$-topoi

Klaus Mattis
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Abstract

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 $p\in\mathbb Z$.

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Klaus Mattis. 2024-04-29. Unstable arithmetic fracture squares in $\infty$-topoi. https://arxiv.org/abs/2404.18618

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