Ambient Chow Rings of Debarre--Voisin Fourfolds and the Beauville--Voisin Conjecture
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.
math.AG↗