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arXiv · 2610.23376

Ambient Chow Rings of Debarre--Voisin Fourfolds and the Beauville--Voisin Conjecture

Ryo Akazawa
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Abstract

We prove the Beauville--Voisin conjecture for a very general Debarre--Voisin hyperkähler fourfold \(Y\subset\Gr(6,10)\) associated with a trivector \(σ\) on a ten-dimensional complex vector space \(V_{10}\). Namely, the cycle class map is injective on the subalgebra of the Chow ring generated by divisor classes and the Chern classes of the tangent bundle.

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Ryo Akazawa. 2026-10-16. Ambient Chow Rings of Debarre--Voisin Fourfolds and the Beauville--Voisin Conjecture. https://arxiv.org/abs/2610.23376

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