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| Main Author: | |
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| Format: | Preprint |
| Published: |
2017
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1701.01324 |
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| _version_ | 1866913773276626944 |
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| author | Crew, Richard |
| author_facet | Crew, Richard |
| contents | We extend Berthelot's theory of arithmetic D-modules to a class of morphisms that are not necessarily of finite type. As an application we give a new construction of the category of convergent isocrystals on a separated scheme of finite type over a field, and show that the pullback by Frobenius is an auto-equivalence. This extends results of Berthelot that were proven in the smooth case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1701_01324 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Arithmetic D-modules on locally noetherian formal schemes Crew, Richard Algebraic Geometry 14F30 We extend Berthelot's theory of arithmetic D-modules to a class of morphisms that are not necessarily of finite type. As an application we give a new construction of the category of convergent isocrystals on a separated scheme of finite type over a field, and show that the pullback by Frobenius is an auto-equivalence. This extends results of Berthelot that were proven in the smooth case. |
| title | Arithmetic D-modules on locally noetherian formal schemes |
| topic | Algebraic Geometry 14F30 |
| url | https://arxiv.org/abs/1701.01324 |