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arXiv · 2110.09398

Six operations for D-cap-modules on rigid analytic spaces

Andreas Bode
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Abstract

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 full subcategory which should be thought of as consisting of complexes with coadmissible cohomology, and establish analogues of some classical results: Kashiwara's equivalence, stability of coadmissibility under extraordinary inverse image for smooth morphisms and direct image for projective morphisms, as well as the computation of relative de Rham cohomology.

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Andreas Bode. 2021-10-18. Six operations for D-cap-modules on rigid analytic spaces. https://arxiv.org/abs/2110.09398

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