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

2015/02/04 by Ardakov, Konstantin, Wadsley, Simon J. · 3 citations
#14G22 #32C38 #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1502.01273

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.

Cited by

• Holonomic D-cap-modules on rigid analytic spaces
• Characteristic cycles for coadmissible D-modules on smooth rigid analytic curves
• A fully faithful p-adic Riemann-Hilbert functor for coadmissible D-cap-modules

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• Induction equivalence for equivariant D-modules on rigid analytic spaces
• D-modules on rigid analytic spaces III: Weak holonomicity and operations
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