D-modules on rigid analytic spaces II: Kashiwara's equivalence

Published 4 Feb 2015 in math.NT and math.RT | (1502.01273v2)

Abstract: We prove that the category of coadmissible D-cap-modules on a smooth rigid analytic space supported on a closed smooth subvariety is naturally equivalent to the category of coadmissible D-cap-modules on the subvariety, and use this result to construct a large family of pairwise non-isomorphic simple coadmissible D-cap-modules.

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