Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

$ \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
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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
Email: S.J.Wadsley@dpmms.cam.ac.uk

DOI: https://doi.org/10.1090/jag/709
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.

American Mathematical Society