Around the nearby cycle functor for arithmetic $\mathscr{D}$-modules
Algebraic Geometry
2018-05-02 v1
Abstract
We will establish a nearby and vanishing cycle formalism for the arithmetic -module theory following Beilinson's philosophy. As an application, we define smooth objects in the framework of arithmetic -modules whose category is equivalent to the category of overconvergent isocrystals.
Cite
@article{arxiv.1805.00153,
title = {Around the nearby cycle functor for arithmetic $\mathscr{D}$-modules},
author = {Tomoyuki Abe},
journal= {arXiv preprint arXiv:1805.00153},
year = {2018}
}