Volume 38_2_(2017)_243-276

Algebraic cycles on some special hyperkaehler varieties
ROBERT LATERVEER

Abstract. This note contains some examples of hyperkaehler varieties X having a group G of non-symplectic automorphisms, and such that the action of G on certain Chow groups of X is as predicted by Bloch's conjecture. The examples range in dimension from 6 to 132. For each example, the quotient Y = X/G is a Calabi-Yau variety which has interesting Chow-theoretic properties; in particular, the variety Y satisfies (part of) a strong version of the Beauville-Voisin conjecture

Rend. Mat. Appl. (7) 38 (2017) 243-276;  pdf