Kashiwara's theorem for twisted arithmetic differential operators
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2021
- DOI:
- 10.48550/arXiv.2101.10400
- arXiv:
- arXiv:2101.10400
- Bibcode:
- 2021arXiv210110400H
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematics - Number Theory;
- 11F70;
- 14G20;
- 14F10;
- 14F30
- E-Print:
- 28 pages, corrected some minor typos in the first version, added the application to crystalline distribution algebras