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arXiv · 2405.03028

Holonomic $\mathscr{D}$-modules on rigid analytic varieties

Feliks Rączka
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Abstract

We study the category of holonomic $\mathscr{D}_{X}$-modules for a quasi-compact, quasi-separated, smooth rigid analytic variety $X$ over the field $\mathbb{C}(\!(t)\!)$. In particular, we prove finiteness of the de Rham cohomology for such modules.

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Feliks Rączka. 2024-05-05. Holonomic $\mathscr{D}$-modules on rigid analytic varieties. https://arxiv.org/abs/2405.03028

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