English

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

Algebraic Geometry 2017-08-22 v1

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 hyperk\"ahler varieties, and we prove this reformulated conjecture for one family of hyperk\"ahler fourfolds.

Keywords

Cite

@article{arxiv.1708.06092,
  title  = {On Voisin's conjecture for zero-cycles on hyperkaehler varieties},
  author = {Robert Laterveer},
  journal= {arXiv preprint arXiv:1708.06092},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T21:19:12.630Z