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Gauss--Manin connections extend to holonomic coadmissible D-cap-modules
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 sheaf D-cap of infinite order differential operators. This may be viewed as a rigid analytic variant of the classical the
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