  Inspired by their results on the Chow rings of projective K3 surfaces,
Beauville and Voisin made the following conjecture: given a projective
hyperkaehler manifold, for any algebraic cycle which is a polynomial with
rational coefficients of Chern classes of the tangent bundle and line bundles,
it is rationally equivalent to zero if and only if it is numerically equivalent
to zero. In this paper, we prove the Beauville-Voisin conjecture for
generalized Kummer varieties.
