Geodesic
On the Chow ring of some special Calabi–Yau varieties
Canadian mathematical bulletin, Tome 65 (2022) no. 2, pp. 308-327

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DOI

We consider Calabi–Yau n-folds X arising from certain hyperplane arrangements. Using Fu–Vial’s theory of distinguished cycles for varieties with motive of abelian type, we show that the subring of the Chow ring of X generated by divisors, Chern classes and intersections of subvarieties of positive codimension injects into cohomology. We also prove Voisin’s conjecture for X, and Voevodsky’s smash-nilpotence conjecture for odd-dimensional X.
DOI : 10.4153/S0008439521000291
Mots-clés : Algebraic cycles, Chow group, motive, Bloch–Beilinson filtration, distinguished cycles, section property 
Laterveer, Robert. On the Chow ring of some special Calabi–Yau varieties. Canadian mathematical bulletin, Tome 65 (2022) no. 2, pp. 308-327. doi: 10.4153/S0008439521000291
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     author = {Laterveer, Robert},
     title = {On the {Chow} ring of some special {Calabi{\textendash}Yau} varieties},
     journal = {Canadian mathematical bulletin},
     pages = {308--327},
     year = {2022},
     volume = {65},
     number = {2},
     doi = {10.4153/S0008439521000291},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000291/}
}
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