On the Chow ring of some special Calabi-Yau varieties

Robert Laterveer

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arXiv · 2105.04155

On the Chow ring of some special Calabi-Yau varieties

Robert Laterveer

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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 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 $X$.

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Robert Laterveer. 2021-05-10. On the Chow ring of some special Calabi-Yau varieties. https://arxiv.org/abs/2105.04155

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