D-modules on rigid analytic spaces I
Number Theory
2015-01-12 v1 Rings and Algebras
Representation Theory
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.
Cite
@article{arxiv.1501.02215,
title = {D-modules on rigid analytic spaces I},
author = {Konstantin Ardakov and Simon Wadsley},
journal= {arXiv preprint arXiv:1501.02215},
year = {2015}
}
Comments
48 pages. Comments welcome