Two Cycle Class Maps on Torsion Cycles
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929217748336640 |
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| author | Alexandrou, Theodosis |
| author_facet | Alexandrou, Theodosis |
| contents | We compare two cycle class maps on torsion cycles and show that they agree up to a minus sign. The first one goes back to Bloch (1979), with recent generalizations to non-closed fields. The second is the étale motivic cycle class map $α^{i}_{X}\colon \text{CH}^{i}(X)_{\mathbb{Z}_{\ell}}\to H^{2i}_{L}(X,\mathbb{Z}_{\ell}(i))$ restricted to torsion cycles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11014 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two Cycle Class Maps on Torsion Cycles Alexandrou, Theodosis Algebraic Geometry 14C15, 14C25 (Primary) We compare two cycle class maps on torsion cycles and show that they agree up to a minus sign. The first one goes back to Bloch (1979), with recent generalizations to non-closed fields. The second is the étale motivic cycle class map $α^{i}_{X}\colon \text{CH}^{i}(X)_{\mathbb{Z}_{\ell}}\to H^{2i}_{L}(X,\mathbb{Z}_{\ell}(i))$ restricted to torsion cycles. |
| title | Two Cycle Class Maps on Torsion Cycles |
| topic | Algebraic Geometry 14C15, 14C25 (Primary) |
| url | https://arxiv.org/abs/2401.11014 |