AROUND THE NEARBY CYCLE FUNCTOR FOR ARITHMETIC -MODULES

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...

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Bibliographic Details
Published in:Nagoya mathematical journal 2019-12, Vol.236, p.1-28
Main Author: ABE, TOMOYUKI
Format: Article
Language:eng ; jpn
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Summary: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.
ISSN:0027-7630
2152-6842
DOI:10.1017/nmj.2019.23