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arXiv · 2211.12186

Chow groups of surfaces of lines in cubic fourfolds

Daniel Huybrechts
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Abstract

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.

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Daniel Huybrechts. 2022-11-22. Chow groups of surfaces of lines in cubic fourfolds. https://doi.org/10.46298/epiga.2023.10425

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