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arXiv · 2101.10400

Kashiwara's theorem for twisted arithmetic differential operators

Christine Huyghe·Tobias Schmidt
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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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Christine Huyghe, Tobias Schmidt. 2021-01-25. Kashiwara's theorem for twisted arithmetic differential operators. https://arxiv.org/abs/2101.10400

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