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arXiv · 2103.10362

Arithmetic $\mathcal{D}$-modules over Laurent series fields: absolute case

Daniel Caro
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Abstract

Let $k$ be a perfect field of characteristic $p>0$. Within Berthelot's theory of arithmetic $\mathcal{D}$-modules, we construct a $p$-adic formalism of Grothendieck's six operations for quasi-projective schemes over $\mathrm{Spec} k[[t]]$.

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Daniel Caro. 2021-03-18. Arithmetic $\mathcal{D}$-modules over Laurent series fields: absolute case. https://arxiv.org/abs/2103.10362

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