Geodesic
Intermediate extensions and crystalline distribution algebras
Documenta mathematica, Tome 26 (2021), pp. 2005-2059.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Let $G$ be a connected split reductive group over a complete discrete valuation ring of mixed characteristic. We use the theory of intermediate extensions due to Abe-Caro and arithmetic Beilinson-Bernstein localization to classify irreducible modules over the crystalline distribution algebra of $G$ in terms of overconvergent isocrystals on locally closed subspaces in the flag variety of $G$. We treat the case of $\operatorname{SL}_2$ as an example.
Classification : 14F10, 14F30, 11F70, 14G20
Keywords: arithmetic differential operators, intermediate extensions, crystalline distributions 
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     title = {Intermediate extensions and crystalline distribution algebras},
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Huyghe, Christine; Schmidt, Tobias. Intermediate extensions and crystalline distribution algebras. Documenta mathematica, Tome 26 (2021), pp. 2005-2059. http://geodesic.mathdoc.fr/item/DOCMA_2021__26__a1/