An approach to the Tate conjecture for surfaces over a finite field
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909607659569152 |
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| author | Kahn, Bruno |
| author_facet | Kahn, Bruno |
| contents | We give a reformuation of the Tate conjecture for a surface over a finite field in terms of suitable affine open subsets. We then present three attempts to prove this reformulation, each of them falling short. Interestingly, the last two are related to techniques used in proofs of Gersten's conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07337 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An approach to the Tate conjecture for surfaces over a finite field Kahn, Bruno Number Theory Algebraic Geometry 14C25, 19F27 We give a reformuation of the Tate conjecture for a surface over a finite field in terms of suitable affine open subsets. We then present three attempts to prove this reformulation, each of them falling short. Interestingly, the last two are related to techniques used in proofs of Gersten's conjecture. |
| title | An approach to the Tate conjecture for surfaces over a finite field |
| topic | Number Theory Algebraic Geometry 14C25, 19F27 |
| url | https://arxiv.org/abs/2505.07337 |