Autour de la conjecture de Tate enti\`ere pour certains produits de dimension $3$ sur un corps fini
Let $X$ be the product of a surface satisfying $b_2=\rho$ 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-Th\'el\`ene.
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| Format: | Article |
| Language: | English |
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Association Epiga
2022-06-01
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| Series: | Épijournal de Géométrie Algébrique |
| Subjects: | |
| Online Access: | https://epiga.episciences.org/8550/pdf |
| _version_ | 1797248744758968320 |
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| author | Federico Scavia |
| author_facet | Federico Scavia |
| author_sort | Federico Scavia |
| collection | DOAJ |
| description | Let $X$ be the product of a surface satisfying $b_2=\rho$ 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-Th\'el\`ene. |
| first_indexed | 2024-04-24T20:19:28Z |
| format | Article |
| id | doaj.art-5ed0439f6d3a42a8aa227a41d7f97310 |
| institution | Directory Open Access Journal |
| issn | 2491-6765 |
| language | English |
| last_indexed | 2024-04-24T20:19:28Z |
| publishDate | 2022-06-01 |
| publisher | Association Epiga |
| record_format | Article |
| series | Épijournal de Géométrie Algébrique |
| spelling | doaj.art-5ed0439f6d3a42a8aa227a41d7f973102024-03-22T09:11:16ZengAssociation EpigaÉpijournal de Géométrie Algébrique2491-67652022-06-01Volume 610.46298/epiga.2022.volume6.85508550Autour de la conjecture de Tate enti\`ere pour certains produits de dimension $3$ sur un corps finiFederico ScaviaLet $X$ be the product of a surface satisfying $b_2=\rho$ 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-Th\'el\`ene.https://epiga.episciences.org/8550/pdfmathematics - algebraic geometrymathematics - number theory14c25 (primary) 14c35, 14g15 (secondary) |
| spellingShingle | Federico Scavia Autour de la conjecture de Tate enti\`ere pour certains produits de dimension $3$ sur un corps fini Épijournal de Géométrie Algébrique mathematics - algebraic geometry mathematics - number theory 14c25 (primary) 14c35, 14g15 (secondary) |
| title | Autour de la conjecture de Tate enti\`ere pour certains produits de dimension $3$ sur un corps fini |
| title_full | Autour de la conjecture de Tate enti\`ere pour certains produits de dimension $3$ sur un corps fini |
| title_fullStr | Autour de la conjecture de Tate enti\`ere pour certains produits de dimension $3$ sur un corps fini |
| title_full_unstemmed | Autour de la conjecture de Tate enti\`ere pour certains produits de dimension $3$ sur un corps fini |
| title_short | Autour de la conjecture de Tate enti\`ere pour certains produits de dimension $3$ sur un corps fini |
| title_sort | autour de la conjecture de tate enti ere pour certains produits de dimension 3 sur un corps fini |
| topic | mathematics - algebraic geometry mathematics - number theory 14c25 (primary) 14c35, 14g15 (secondary) |
| url | https://epiga.episciences.org/8550/pdf |
| work_keys_str_mv | AT federicoscavia autourdelaconjecturedetateentierepourcertainsproduitsdedimension3suruncorpsfini |