Universally defined cycles I
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929628538470400 |
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| author | Voisin, Claire |
| author_facet | Voisin, Claire |
| contents | We introduce and study the notion of universally defined cycles of smooth varieties of dimension $d$, and prove that they are given by polynomials in the Chern classes. A similar result is proved for universally defined cycles on products of smooth varieties. We also state a conjectural explicit form for universally defined cycles on powers of smooth varieties, and provide some steps towards establishing it. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_06893 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universally defined cycles I Voisin, Claire Algebraic Geometry We introduce and study the notion of universally defined cycles of smooth varieties of dimension $d$, and prove that they are given by polynomials in the Chern classes. A similar result is proved for universally defined cycles on products of smooth varieties. We also state a conjectural explicit form for universally defined cycles on powers of smooth varieties, and provide some steps towards establishing it. |
| title | Universally defined cycles I |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2408.06893 |