Work

Kashiwara's theorem for twisted arithmetic differential operators

Year: 2021

Type: preprint

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.

Source: INRIA a CCSD electronic archive server

DOI: 10.48550/arxiv.2101.10400

Authors: Huyghe, Christine, Schmidt, Tobias

Institutions: Laboratoire de Mathématiques de Besançon, Université de Franche-Comté, Institut de recherche mathématique de Rennes

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3122745604

Cites: 12

Cited by: 1

Related to: 10