Geodesic
Chow groups of surfaces of lines in cubic fourfolds
Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023)

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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.
DOI : 10.46298/epiga.2023.10425
Classification : 14C15, 14J28, 14J29, 14J70 
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     author = {Huybrechts, Daniel},
     title = {Chow groups of surfaces of lines in cubic fourfolds},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
     publisher = {mathdoc},
     year = {2023},
     doi = {10.46298/epiga.2023.10425},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2023.10425/}
}
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Huybrechts, Daniel. Chow groups of surfaces of lines in cubic fourfolds. Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023). doi: 10.46298/epiga.2023.10425

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