Chow groups of surfaces of lines in cubic fourfolds
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866914603088216064 |
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| author | Huybrechts, Daniel |
| author_facet | Huybrechts, Daniel |
| contents | The surface of lines in a cubic fourfold intersecting a fixed line splits motivically into two parts, one of which resembles a K3 surface. We define the analogue of the Beauville-Voisin class and study the push-forward map to the Fano variety of all lines with respect to the natural splitting of the Bloch-Beilinson filtration introduced by Mingmin Shen and Charles Vial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_12186 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Chow groups of surfaces of lines in cubic fourfolds Huybrechts, Daniel Algebraic Geometry The surface of lines in a cubic fourfold intersecting a fixed line splits motivically into two parts, one of which resembles a K3 surface. We define the analogue of the Beauville-Voisin class and study the push-forward map to the Fano variety of all lines with respect to the natural splitting of the Bloch-Beilinson filtration introduced by Mingmin Shen and Charles Vial. |
| title | Chow groups of surfaces of lines in cubic fourfolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2211.12186 |