p-adic Generalized Hypergeometric Equations from the Viewpoint of Arithmetic D-modules
Algebraic Geometry
2021-08-23 v2 Number Theory
Abstract
We study the -adic (generalized) hypergeometric equations by using the theory of multiplicative convolution of arithmetic -modules. As a result, we prove that the hypergeometric isocrystals with suitable rational parameters have a structure of overconvergent -isocrystals.
Cite
@article{arxiv.1607.04852,
title = {p-adic Generalized Hypergeometric Equations from the Viewpoint of Arithmetic D-modules},
author = {Kazuaki Miyatani},
journal= {arXiv preprint arXiv:1607.04852},
year = {2021}
}
Comments
33 pages; minor corrections