Zero-cycles on self-products of varieties: some elementary examples verifying Voisin’s conjecture

Laterveer, Robert

doi:10.1007/s40574-020-00259-0

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Robert Laterveer1

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2021

2024

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Cited by 2 publications

(1 citation statement)

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“…[43,Section 4.3.5.2]. Conjecture 4.1 has been proven in some scattered special cases [41], [24], [25], [26], [27], [6], [29], [7], [28], but is still wide open for a general K3 surface.…”

Section: Robert Laterveermentioning

confidence: 99%

On the Chow ring of some special Calabi–Yau varieties

Laterveer

2021

Can. Math. Bull.

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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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“…[43,Section 4.3.5.2]. Conjecture 4.1 has been proven in some scattered special cases [41], [24], [25], [26], [27], [6], [29], [7], [28], but is still wide open for a general K3 surface.…”

Section: Robert Laterveermentioning

confidence: 99%