Families of rational curves on holomorphic symplectic varieties and   applications to 0-cycles
  We study families of rational curves on certain irreducible holomorphic symplectic varieties. In particular, we prove that any ample linear system on a projective holomorphic symplectic variety of K3[n]-type contains a uniruled divisor. As an application we provide a generalization of the Beauville-Voisin result on the Chow group of 0-cycles on such varieties. 
Fran\c{c}ois Charles and Gianluca Pacienza
math.AG