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math.AG2026
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…
math.AG2021
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…
math.AG2018
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…