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

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

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Main Authors: Ardakov, K, Wadsley, S
Format: Journal article
Published: 2015
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author Ardakov, K
Wadsley, S
author_facet Ardakov, K
Wadsley, S
author_sort Ardakov, K
collection OXFORD
description We prove that the category of co-admissible D-cap-modules on a smooth rigid analytic space supported on a closed smooth subvariety is naturally equivalent to the category of co-admissible D-cap-modules on the subvariety, and use this result to construct a large family of pairwise non-isomorphic simple co-admissible D-cap-modules.
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institution University of Oxford
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spelling oxford-uuid:6a4afb34-7a19-4b66-911b-bdf167afc2e22022-03-26T18:56:31ZD-modules on rigid analytic spaces II: Kashiwara's equivalenceJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6a4afb34-7a19-4b66-911b-bdf167afc2e2Symplectic Elements at Oxford2015Ardakov, KWadsley, SWe prove that the category of co-admissible D-cap-modules on a smooth rigid analytic space supported on a closed smooth subvariety is naturally equivalent to the category of co-admissible D-cap-modules on the subvariety, and use this result to construct a large family of pairwise non-isomorphic simple co-admissible D-cap-modules.
spellingShingle Ardakov, K
Wadsley, S
D-modules on rigid analytic spaces II: Kashiwara's equivalence
title D-modules on rigid analytic spaces II: Kashiwara's equivalence
title_full D-modules on rigid analytic spaces II: Kashiwara's equivalence
title_fullStr D-modules on rigid analytic spaces II: Kashiwara's equivalence
title_full_unstemmed D-modules on rigid analytic spaces II: Kashiwara's equivalence
title_short D-modules on rigid analytic spaces II: Kashiwara's equivalence
title_sort d modules on rigid analytic spaces ii kashiwara s equivalence
work_keys_str_mv AT ardakovk dmodulesonrigidanalyticspacesiikashiwarasequivalence
AT wadsleys dmodulesonrigidanalyticspacesiikashiwarasequivalence