Kashiwara's theorem for twisted arithmetic differential operators
Algebraic Geometry
2021-06-09 v2 Number Theory
Abstract
We establish a version of Kashiwara's theorem for twisted sheaves of Berthelot's arithmetic differential operators for a closed immersion between smooth p-adic formal schemes. As an application, we construct simple modules for crystalline distribution algebras of reductive groups using the twisted version of the crystalline localisation theorem.
Cite
@article{arxiv.2101.10400,
title = {Kashiwara's theorem for twisted arithmetic differential operators},
author = {Christine Huyghe and Tobias Schmidt},
journal= {arXiv preprint arXiv:2101.10400},
year = {2021}
}
Comments
28 pages, corrected some minor typos in the first version, added the application to crystalline distribution algebras