D-modules on rigid analytic spaces I
Change log
Authors
Ardakov, K
Wadsley, Simon https://orcid.org/0000-0002-0069-1636
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.
Description
Keywords
math.NT, math.NT, math.RA, math.RT, 14G22, 32C38
Journal Title
Journal fuer die Reine und Angewandte Mathematik: Crelle's journal
Conference Name
Journal ISSN
0075-4102
1435-5345
1435-5345
Volume Title
2019
Publisher
De Gruyter
Publisher DOI
Sponsorship
Award identifier / Grant number: EP/L005190/1
The first author was supported by EPSRC grant EP/L005190/1.