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arxiv: 1805.00153 · v1 · pith:IV4KMOR5new · submitted 2018-05-01 · 🧮 math.AG

Around the nearby cycle functor for arithmetic mathscr{D}-modules

classification 🧮 math.AG
keywords arithmeticmathscrcategorycyclemodulesnearbyapplicationaround
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We will establish a nearby and vanishing cycle formalism for the arithmetic $\mathscr{D}$-module theory following Beilinson's philosophy. As an application, we define smooth objects in the framework of arithmetic $\mathscr{D}$-modules whose category is equivalent to the category of overconvergent isocrystals.

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