Abstract We consider Calabi–Yau n -folds X arising from certain hyperplane arrangements. Using Fu–Vial’s theory of distinguished cycles for varieties with motive abelian type, we show that the subring Chow ring generated by divisors, Chern classes and intersections subvarieties positive codimension injects into cohomology. also prove Voisin’s conjecture , Voevodsky’s smash-nilpotence odd-dimens...