Kashiwara’s theorem for twisted arithmetic differential operators
Copyright policy )Kashiwara’s theorem for twisted arithmetic differential operators
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 give a geometric construction of simple modules for crystalline distribution algebras of reductive groups.
11F70, 14G20, 14F10, 14F30, Mathematics - Number Theory, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], \(p\)-adic cohomology, crystalline cohomology, 510, Mathematics - Algebraic Geometry, Representation-theoretic methods; automorphic representations over local and global fields, FOS: Mathematics, [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], Number Theory (math.NT), Algebraic Geometry (math.AG)
11F70, 14G20, 14F10, 14F30, Mathematics - Number Theory, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], \(p\)-adic cohomology, crystalline cohomology, 510, Mathematics - Algebraic Geometry, Representation-theoretic methods; automorphic representations over local and global fields, FOS: Mathematics, [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], Number Theory (math.NT), Algebraic Geometry (math.AG)
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