Autour de la conjecture de Tate entière pour certains produits de dimension $3$ sur un corps fini
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866912496842964992 |
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| author | Scavia, Federico |
| author_facet | Scavia, Federico |
| contents | Let $X$ be the product of a surface satisfying $b_2=ρ$ and of a curve over a finite field. We study a strong form of the integral Tate conjecture for $1$-cycles on $X$. We generalize and give unconditional proofs of several results of our previous paper with J.-L. Colliot-Thélène. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_00786 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Autour de la conjecture de Tate entière pour certains produits de dimension $3$ sur un corps fini Scavia, Federico Algebraic Geometry Number Theory 14C25 (Primary) 14C35, 14G15 (Secondary) Let $X$ be the product of a surface satisfying $b_2=ρ$ and of a curve over a finite field. We study a strong form of the integral Tate conjecture for $1$-cycles on $X$. We generalize and give unconditional proofs of several results of our previous paper with J.-L. Colliot-Thélène. |
| title | Autour de la conjecture de Tate entière pour certains produits de dimension $3$ sur un corps fini |
| topic | Algebraic Geometry Number Theory 14C25 (Primary) 14C35, 14G15 (Secondary) |
| url | https://arxiv.org/abs/2110.00786 |