Holonomic D-cap-modules on rigid analytic spaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911310425358336 |
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| author | Bode, Andreas |
| author_facet | Bode, Andreas |
| contents | We adapt Caro's notion of overholonomicity to give a definition of holonomic D-cap-modules on rigid analytic spaces. We prove stability under five of the six operations (both inverse image functors, duality, and both direct image functors for projective morphisms), as well as base change results. Up to the open problem of stability under tensor products, we obtain an analogue of the usual six-functor formalism for holonomic D-modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08838 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Holonomic D-cap-modules on rigid analytic spaces Bode, Andreas Algebraic Geometry Number Theory 14G22, 14F10 We adapt Caro's notion of overholonomicity to give a definition of holonomic D-cap-modules on rigid analytic spaces. We prove stability under five of the six operations (both inverse image functors, duality, and both direct image functors for projective morphisms), as well as base change results. Up to the open problem of stability under tensor products, we obtain an analogue of the usual six-functor formalism for holonomic D-modules. |
| title | Holonomic D-cap-modules on rigid analytic spaces |
| topic | Algebraic Geometry Number Theory 14G22, 14F10 |
| url | https://arxiv.org/abs/2512.08838 |