Six operations for D-cap-modules on rigid analytic spaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866917908732444672 |
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| author | Bode, Andreas |
| author_facet | Bode, Andreas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_09398 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Six operations for D-cap-modules on rigid analytic spaces Bode, Andreas Algebraic Geometry Number Theory 14G22, 14F10 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. |
| title | Six operations for D-cap-modules on rigid analytic spaces |
| topic | Algebraic Geometry Number Theory 14G22, 14F10 |
| url | https://arxiv.org/abs/2110.09398 |