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D-modules on rigid analytic spaces II: Kashiwara’s equivalence
(American Mathematical SocietyJournal of Algebraic Geometry, 2018-01-01)
Let X be a smooth rigid analytic space. We prove that the category of co-admissible D-cap-modules on a smooth rigid analytic space supported on a closed smooth subvariety is naturally equivalent to the category of co-admissible ...
D-modules on rigid analytic spaces I
(De GruyterJournal für die reine und angewandte Mathematik, 2016)
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 ...