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

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Ardakov, K 

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.

Description

Keywords

math.NT, math.NT, math.RT, 14G22, 32C38

Journal Title

Journal of Algebraic Geometry

Conference Name

Journal ISSN

1056-3911
1534-7486

Volume Title

27

Publisher

American Mathematical Society (AMS)
Sponsorship
The first author was supported by EPSRC grant EP/L005190/1.