Year: 2024
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Rączka, Feliks
Institutions: Institute of Mathematics, Polish Academy of Sciences
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4396720411