A family of K3 surfaces having finite-dimensional motive

Abstract

This short note contains an example of a 4-dimensional family of K3 surfaces having finite-dimensional motive. Some consequences are presented, for instance the verification of a conjecture of Voisin (concerning 0-cycles on the self-product) for K3 surfaces in this family.

arXiv comment11 pages, to appear (in slightly different from) in Arch. Math., comments very welcome !