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Article Dans Une Revue Annales de la Faculté des Sciences de Toulouse. Mathématiques. Année : 2023

Kashiwara's theorem for twisted arithmetic differential operators

Résumé

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.

Dates et versions

hal-03450288 , version 1 (25-11-2021)

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Citer

Christine Huyghe, Tobias Schmidt. Kashiwara's theorem for twisted arithmetic differential operators. Annales de la Faculté des Sciences de Toulouse. Mathématiques., In press. ⟨hal-03450288⟩
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