Journal title
Journal für die Reine und Angewandte Mathematik
DOI
10.1515/crelle-2016-0016
Last updated
2024-04-07T09:22:25.783+01:00
Abstract
We introduce a sheaf of infinite order differential operators D-cap on smooth
rigid analytic spaces that is a rigid analytic quantisation of the cotangent
bundle. We show that the sections of this sheaf over sufficiently small
affinoid varieties are Fr\'echet-Stein algebras, and use this to define
co-admissible sheaves of D-cap-modules. We prove analogues of Cartan's Theorems
A and B for co-admissible D-cap-modules.
rigid analytic spaces that is a rigid analytic quantisation of the cotangent
bundle. We show that the sections of this sheaf over sufficiently small
affinoid varieties are Fr\'echet-Stein algebras, and use this to define
co-admissible sheaves of D-cap-modules. We prove analogues of Cartan's Theorems
A and B for co-admissible D-cap-modules.
Symplectic ID
503528
Download URL
http://arxiv.org/abs/1501.02215v1
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Publication type
Journal Article
Publication date
12 Jul 2017