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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2212.02128 |
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| _version_ | 1866929226889822208 |
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| author | Soto, Ivan Rosas |
| author_facet | Soto, Ivan Rosas |
| contents | We define the category of étale Chow motives as the étale analogue of Grothendieck motives and proved that it embeds in $\text{DM}_{\text{ét}}(k)$. This construction provides a characterization of the generalized Hodge conjecture in terms of an étale analogue of it. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_02128 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Hodge structures through an étale motivic point of view Soto, Ivan Rosas Algebraic Geometry We define the category of étale Chow motives as the étale analogue of Grothendieck motives and proved that it embeds in $\text{DM}_{\text{ét}}(k)$. This construction provides a characterization of the generalized Hodge conjecture in terms of an étale analogue of it. |
| title | Hodge structures through an étale motivic point of view |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2212.02128 |