Logarithmic $p$-bases and arithmetical differential modules

Abstract

We introduce the notion of log $p$-smoothness which weakens that of log-smoothness and that of having locally $p$-bases. We extend Berthelot's construction of arithmetic $D$-modules and some properties in this context.

42 pages

References in corpus (1)

• Semistable reduction for overconvergent F-isocrystals, III: Local semistable reduction at monomial valuations

Cited by in corpus (2)

• Arithmetic $\mathcal{D}$-modules over Laurent series fields: absolute case
• Around the nearby cycle functor for arithmetic $\mathcal{D}$-modules