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

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 $\mathrm{Spec}k[[t]]$.

arXiv admin note: text overlap with arXiv:1909.08432

References in corpus (2)

• Unipotent monodromy and arithmetic D-modules
• Logarithmic $p$-bases and arithmetical differential modules