Browsing by Author "Wadsley, Simon James"

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  • D-modules on rigid analytic spaces I 

    Ardakov, Konstantin; Wadsley, Simon James (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 ...

  • D-modules on rigid analytic spaces II: Kashiwara’s equivalence 

    Ardakov, K; Wadsley, Simon James (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 ...