5 citations · 9 across the 6 of their papers we have counts for
7 papers
Gauss--Manin connections extend to holonomic coadmissible D-cap-modules
Andreas Bode, Finn Wiersig
We prove that the pushforwards of Gauss--Manin connections on smooth rigid analytic varieties along Zariski-open immersions are coadmissible and holonomic over Ardakov--Wadsley's s…
A Mackey criterion for locally analytic representations
Andreas Bode
We prove an analogue of Mackey's irreducibility criterion for compactly induced locally analytic representations of -adic groups, where we induce from an open subgroup which is…
Six operations for D-cap-modules on rigid analytic spaces
Andreas Bode
We introduce all six operations for D-cap-modules on smooth rigid analytic spaces by considering the derived category of complete bornological D-cap-modules. We then focus on a ful…
D-modules on rigid analytic spaces III: Weak holonomicity and operations
Konstantin Ardakov, Andreas Bode, Simon Wadsley
We develop a dimension theory for coadmissible D-cap-modules on rigid analytic spaces and study those which are of minimal dimension, in analogy to the theory of holonomic D-module…
Extending meromorphic connections to coadmissible D-cap-modules
Thomas Bitoun, Andreas Bode
We investigate when a meromorphic connection on a smooth rigid analytic variety gives rise to a coadmissible -cap-module, and show that this is always the case w…
A Proper Mapping Theorem for coadmissible D-cap-modules
Andreas Bode
We study the behaviour of D-cap-modules on rigid analytic varieties under pushforward along a proper morphism. We prove a D-cap-module analogue of Kiehl's Proper Mapping Theorem, c…