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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.13607 |
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| _version_ | 1866917646744682496 |
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| author | Bini, Gilberto Laterveer, Robert |
| author_facet | Bini, Gilberto Laterveer, Robert |
| contents | Cayley and Oguiso have constructed certain quartic K3 surfaces $S$, with automorphisms $g$ of infinite order. We show that when $g$ is symplectic (resp. anti-symplectic), it acts as the identity (resp. minus the identity) on the degree zero part of the Chow group of zero-cycles of $S$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13607 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Zero-cycles and the Cayley-Oguiso automorphism Bini, Gilberto Laterveer, Robert Algebraic Geometry 14C15, 14C25, 14C30 Cayley and Oguiso have constructed certain quartic K3 surfaces $S$, with automorphisms $g$ of infinite order. We show that when $g$ is symplectic (resp. anti-symplectic), it acts as the identity (resp. minus the identity) on the degree zero part of the Chow group of zero-cycles of $S$. |
| title | Zero-cycles and the Cayley-Oguiso automorphism |
| topic | Algebraic Geometry 14C15, 14C25, 14C30 |
| url | https://arxiv.org/abs/2404.13607 |