Holonomic $\mathscr{D}$-modules on rigid analytic varieties
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911867869331456 |
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| author | Rączka, Feliks |
| author_facet | Rączka, Feliks |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03028 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Holonomic $\mathscr{D}$-modules on rigid analytic varieties Rączka, Feliks Algebraic Geometry 14F10, 14F40, 14G22, 32C38 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. |
| title | Holonomic $\mathscr{D}$-modules on rigid analytic varieties |
| topic | Algebraic Geometry 14F10, 14F40, 14G22, 32C38 |
| url | https://arxiv.org/abs/2405.03028 |