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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.AG2025
A fully faithful p-adic Riemann-Hilbert functor for coadmissible D-cap-modules
Finn Wiersig
This article establishes a Riemann-Hilbert correspondence in rigid-analytic geometry. We construct an explicit solution functor and prove that it is fully faithful on Ardakov-Wadsl…