Varieties with representable CH_0-group and a question of Colliot-Thélène
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912733693214720 |
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| author | Voisin, Claire |
| author_facet | Voisin, Claire |
| contents | We continue our investigation of the geometry of the Albanese morphism on 0-cycles. We provide an example of a smooth projective variety with representable CH_0-group but with no universal 0-cycle, which answers a question asked by Colliot-Thélène. Our construction relies on a counterexample to the integral Hodge conjecture provided by Benoist and Ottem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02331 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Varieties with representable CH_0-group and a question of Colliot-Thélène Voisin, Claire Algebraic Geometry We continue our investigation of the geometry of the Albanese morphism on 0-cycles. We provide an example of a smooth projective variety with representable CH_0-group but with no universal 0-cycle, which answers a question asked by Colliot-Thélène. Our construction relies on a counterexample to the integral Hodge conjecture provided by Benoist and Ottem. |
| title | Varieties with representable CH_0-group and a question of Colliot-Thélène |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2508.02331 |