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1 results

  • On the Chow ring of some special Calabi–Yau varieties

  • Part of
  • Robert Laterveer
  • Journal:
    Canadian Mathematical Bulletin / Volume 65 / Issue 2 / June 2022
    Published online by Cambridge University Press:
    11 May 2021, pp. 308-327
    Print publication:
    June 2022

  • 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.