Chow groups of surfaces of lines in cubic fourfoldsArticle
Auteurs : Daniel Huybrechts
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Daniel Huybrechts
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.
Comment: 15 pages
Volume : Volume spécial en l'honneur de Claire Voisin
Publié le : 30 juillet 2023
Accepté le : 21 mai 2023
Soumis le : 5 décembre 2022
Mots-clés : Mathematics - Algebraic Geometry
Financement :
Source : OpenAIRE Graph- Modern Aspects of Geometry: Categories, Cycles and Cohomology of Hyperkähler Varieties; Financeur: European Commission; Code: 854361