Graded quotients of ramification groups of local fields with imperfect residue fields
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arXiv
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866917795878404096 |
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| author | Saito, Takeshi |
| author_facet | Saito, Takeshi |
| contents | We prove that the graded quotients of the filtration by ramification groups of any henselian discrete valuation field of residue characteristic $p>0$ are $F_p$-vector spaces. We define an injection of the character group of each graded quotient to a twisted cotangent space defined using a cotangent complex. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_03768 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Graded quotients of ramification groups of local fields with imperfect residue fields Saito, Takeshi Algebraic Geometry 14G20 We prove that the graded quotients of the filtration by ramification groups of any henselian discrete valuation field of residue characteristic $p>0$ are $F_p$-vector spaces. We define an injection of the character group of each graded quotient to a twisted cotangent space defined using a cotangent complex. |
| title | Graded quotients of ramification groups of local fields with imperfect residue fields |
| topic | Algebraic Geometry 14G20 |
| url | https://arxiv.org/abs/2004.03768 |