Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Akazawa, Ryo
Institution: Waseda University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222949315