The Chow ring of double EPW sextics

Abstract

A conjecture of Beauville and Voisin states that for an irreducible symplectic variety $X$ the subring of $C{H}^{\ast }\left(X\right)$ generated by divisors goes injectively into the cohomology of $X$, via the cycle map. We prove this for a very general double Eisenbud–Popescu–Walter sextic.