Kashiwara's theorem for twisted arithmetic differential operators

Published 25 Jan 2021 in math.AG and math.NT | (2101.10400v2)

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.

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