Remarks on Milnor K-theory and Tate's conjecture for divisors
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916511915966464 |
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| author | Schreieder, Stefan |
| author_facet | Schreieder, Stefan |
| contents | We show that the Tate conjecture for divisors over a finite field $\mathbb F$ is equivalent to an explicit algebraic problem about the third Milnor K-group of the function field $\bar {\mathbb F}(x,y,z)$ in three variables over $\bar {\mathbb F}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18706 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Remarks on Milnor K-theory and Tate's conjecture for divisors Schreieder, Stefan Algebraic Geometry K-Theory and Homology Number Theory 14C15, 14C25, 14C35 We show that the Tate conjecture for divisors over a finite field $\mathbb F$ is equivalent to an explicit algebraic problem about the third Milnor K-group of the function field $\bar {\mathbb F}(x,y,z)$ in three variables over $\bar {\mathbb F}$. |
| title | Remarks on Milnor K-theory and Tate's conjecture for divisors |
| topic | Algebraic Geometry K-Theory and Homology Number Theory 14C15, 14C25, 14C35 |
| url | https://arxiv.org/abs/2406.18706 |