Prolongation of regular singular connections on punctured affine line over a Henselian ring
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866929317744738304 |
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| author | Hai, Phùng Hô Santos, João Pedro dos Tâm, Pham Thanh Thinh, Đào Văn |
| author_facet | Hai, Phùng Hô Santos, João Pedro dos Tâm, Pham Thanh Thinh, Đào Văn |
| contents | We generalize Deligne's equivalence between the categories of regular-singular connections on the formal punctured disk and on the punctured affine line to the case where the base is a strictly Henselian discrete valuation ring of equal characteristic 0. We also provide a weaker result when the base is higher dimensional. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_00871 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Prolongation of regular singular connections on punctured affine line over a Henselian ring Hai, Phùng Hô Santos, João Pedro dos Tâm, Pham Thanh Thinh, Đào Văn Algebraic Geometry 12H05, 13N15, 18M05 We generalize Deligne's equivalence between the categories of regular-singular connections on the formal punctured disk and on the punctured affine line to the case where the base is a strictly Henselian discrete valuation ring of equal characteristic 0. We also provide a weaker result when the base is higher dimensional. |
| title | Prolongation of regular singular connections on punctured affine line over a Henselian ring |
| topic | Algebraic Geometry 12H05, 13N15, 18M05 |
| url | https://arxiv.org/abs/2208.00871 |