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arxiv: 1511.07797 · v3 · pith:DFIAPC4Snew · submitted 2015-11-24 · 🧮 math.AG

Logarithmic p-bases and arithmetical differential modules

classification 🧮 math.AG
keywords basesmodulesarithmeticarithmeticalberthelotconstructioncontextdifferential
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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.

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