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arXiv · 1805.00153

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

Tomoyuki Abe
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Abstract

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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Tomoyuki Abe. 2018-05-01. Around the nearby cycle functor for arithmetic $\mathscr{D}$-modules. https://arxiv.org/abs/1805.00153

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