Holonomic D-modules on quasi-compact smooth rigid analytic spaces extend to finite-length weakly holonomic D-cap-modules, with applications to meromorphic connections and local cohomology groups.
[HO96] Li Huishi and Freddy van Oystaeyen.Zariskian Filtrations, volume 2 of K-Monogr
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On D-cap-Modules of Finite Length on Rigid Analytic Spaces
Holonomic D-modules on quasi-compact smooth rigid analytic spaces extend to finite-length weakly holonomic D-cap-modules, with applications to meromorphic connections and local cohomology groups.