\wideparen{𝒟}-modules on rigid analytic spaces II: Kashiwara’s equivalence

Ardakov, Konstantin; Wadsley, Simon

doi:10.1090/jag/709

$\wideparen {\mathcal {D}}$-modules on rigid analytic spaces II: Kashiwara’s equivalence

Authors: Konstantin Ardakov and Simon Wadsley
Journal: J. Algebraic Geom. 27 (2018), 647-701
DOI: https://doi.org/10.1090/jag/709
Published electronically: July 19, 2018
MathSciNet review: 3846550
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Abstract | References | Additional Information

Abstract: Let $X$ be a smooth rigid analytic space. We prove that the category of co-admissible $\wideparen {\mathcal {D}_X}$-modules supported on a closed smooth subvariety $Y$ of $X$ is naturally equivalent to the category of co-admissible $\wideparen {\mathcal {D}_Y}$-modules and use this result to construct a large family of pairwise non-isomorphic simple co-admissible $\wideparen {\mathcal {D}_X}$-modules.

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Additional Information

Konstantin Ardakov
Affiliation: Mathematical Institute, University of Oxford, Oxford OX2 6GG, United Kingdom
Email: ardakov@maths.ox.ac.uk

Simon Wadsley
Affiliation: Homerton College, Cambridge, CB2 8PH, United Kingdom
MR Author ID: 770243
Email: S.J.Wadsley@dpmms.cam.ac.uk

Received by editor(s): April 27, 2016
Received by editor(s) in revised form: June 9, 2017
Published electronically: July 19, 2018
Additional Notes: The first author was supported by EPSRC grant EP/L005190/1.
Article copyright: © Copyright 2018 University Press, Inc.