Local structure of the overconvergent de Rham-Witt complex
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911521261486080 |
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| author | Muñoz--Bertrand, Rubén |
| author_facet | Muñoz--Bertrand, Rubén |
| contents | We give a general description of the structure of the relative de Rham-Witt complex on a polynomial ring, seen as an algebra over its integral part. After giving a control of the overconvergence of Lazard's morphism, we similarly give the structure of the overconvergent complex, locally on a smooth algebraic variety over a perfect field of positive characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15449 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Local structure of the overconvergent de Rham-Witt complex Muñoz--Bertrand, Rubén Algebraic Geometry Number Theory We give a general description of the structure of the relative de Rham-Witt complex on a polynomial ring, seen as an algebra over its integral part. After giving a control of the overconvergence of Lazard's morphism, we similarly give the structure of the overconvergent complex, locally on a smooth algebraic variety over a perfect field of positive characteristic. |
| title | Local structure of the overconvergent de Rham-Witt complex |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2311.15449 |