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

2017/08/21 by Robert Laterveer, Laterveer, Robert
Mathematics · #14C15 #14C25 #14C30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1708.06092

openalex publication_date 2017/08/21 · openalex created_date 2017/08/31 · openalex updated_date 2026/07/28

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.

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