Chow groups of surfaces of lines in cubic fourfolds

DOI10.46298/EPIGA.2023.10425arXiv2211.12186OpenAlexW4385397189MaRDI QIDQ6067810

Daniel Huybrechts

Publication date: 14 December 2023

Published in: Épijournal de Géométrie Algébrique (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/2211.12186

zbMATH Keywords

Chow groupscubic fourfoldsBloch conjectureFano variety of linesBeauville-Voisin class

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Surfaces of general type (14J29) Hypersurfaces and algebraic geometry (14J70) (Equivariant) Chow groups and rings; motives (14C15)

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