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D-modules on rigid analytic spaces I

dc.creatorArdakov, Konstantin
dc.creatorWadsley, Simon James
dc.description.abstractWe 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.
dc.publisherDe Gruyter
dc.publisherJournal für die reine und angewandte Mathematik
dc.titleD-modules on rigid analytic spaces I

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