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arXiv · 2608.21015

Arithmetic $\mathcal{D}$-modules over Laurent series fields: the relative 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 the basis $\mathrm{Spec}\, k[[t]]$.

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Daniel Caro. 2026-08-21. Arithmetic $\mathcal{D}$-modules over Laurent series fields: the relative case. https://arxiv.org/abs/2608.21015

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