D-modules on rigid analytic spaces
We introduce a sheaf of infinite order differential operators D 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 Fréchet-Stein algebras, and use this to define co-admi...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Published: |
De Gruyter
2016
|
| Summary: | We introduce a sheaf of infinite order differential operators D 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 Fréchet-Stein algebras, and use this to define co-admissible sheaves of D-modules. We prove analogues of Cartan’s Theorems A and B for co-admissible D-modules. |
|---|