Brauer groups of varieties over local fields of finite characteristic
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866909997632323584 |
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| author | Krishna, Amalendu Majumder, Subhadip |
| author_facet | Krishna, Amalendu Majumder, Subhadip |
| contents | We show that the non-log version of Kato's ramification filtration on the Brauer group of a separated and finite type regular scheme over a positive characteristic local field coincides with the evaluation filtration. This extends a recent result of Bright-Newton to positive characteristics. Among several applications, we extend some results of Ieronymou, Saito-Sato and Kai to positive characteristics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15461 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Brauer groups of varieties over local fields of finite characteristic Krishna, Amalendu Majumder, Subhadip Algebraic Geometry Primary 14G17, Secondary 19F15 We show that the non-log version of Kato's ramification filtration on the Brauer group of a separated and finite type regular scheme over a positive characteristic local field coincides with the evaluation filtration. This extends a recent result of Bright-Newton to positive characteristics. Among several applications, we extend some results of Ieronymou, Saito-Sato and Kai to positive characteristics. |
| title | Brauer groups of varieties over local fields of finite characteristic |
| topic | Algebraic Geometry Primary 14G17, Secondary 19F15 |
| url | https://arxiv.org/abs/2601.15461 |