Daniel Huybrechts - Chow groups of surfaces of lines in cubic fourfolds

epiga:10425 - Épijournal de Géométrie Algébrique, July 30, 2023, Special volume in honour of Claire Voisin - https://doi.org/10.46298/epiga.2023.10425
Chow groups of surfaces of lines in cubic fourfoldsArticle

Authors: 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

https://doi.org/10.46298/epiga.2023.10425
Source: arXiv.org:2211.12186
Volume: Special volume in honour of Claire Voisin
Published on: July 30, 2023
Accepted on: May 21, 2023
Submitted on: December 5, 2022
Keywords: Mathematics - Algebraic Geometry
Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
Funding:
    Source : OpenAIRE Graph
  • Modern Aspects of Geometry: Categories, Cycles and Cohomology of Hyperkähler Varieties; Funder: European Commission; Code: 854361

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