Chow Künneth decomposition for étale motives
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913248904740864 |
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| author | Rosas-Soto, Ivan |
| author_facet | Rosas-Soto, Ivan |
| contents | In the present article we define an integral analogue of Chow-Künneth decomposition for étale motives. By using families of conservative functors we are able to establish a decomposition of the étale motive of commutative group schemes over a base and we relate to an integral étale Chow-Künneth decomposition of abelian varieties. For a projective variety $X$ of dimension $d$ over an algebraically closed field, we construct integral sub-motives $h^1_{\text{ét}}(X)$ and $h^{2d-1}_{\text{ét}}(X)$ of the motive $h_{\text{ét}}(X)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00159 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Chow Künneth decomposition for étale motives Rosas-Soto, Ivan Algebraic Geometry 14C25, 14F20, 19E15 In the present article we define an integral analogue of Chow-Künneth decomposition for étale motives. By using families of conservative functors we are able to establish a decomposition of the étale motive of commutative group schemes over a base and we relate to an integral étale Chow-Künneth decomposition of abelian varieties. For a projective variety $X$ of dimension $d$ over an algebraically closed field, we construct integral sub-motives $h^1_{\text{ét}}(X)$ and $h^{2d-1}_{\text{ét}}(X)$ of the motive $h_{\text{ét}}(X)$. |
| title | Chow Künneth decomposition for étale motives |
| topic | Algebraic Geometry 14C25, 14F20, 19E15 |
| url | https://arxiv.org/abs/2403.00159 |