On Voisin's conjecture for zero-cycles on hyperkaehler varieties

Abstract

Motivated by the Bloch-Beilinson conjectures, Voisin has made a conjecture concerning zero-cycles on self-products of Calabi-Yau varieties. We reformulate Voisin's conjecture in the setting of hyperkähler varieties, and we prove this reformulated conjecture for one family of hyperkähler fourfolds.

arXiv comment10 pages, to appear in Journal Korean Math. Soc., comments very welcome !. arXiv admin note: text overlap with arXiv:1704.01083, arXiv:1703.03992