Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON VOISIN'S CONJECTURE FOR ZERO-CYCLES ON HYPERKÄHLER VARIETIES

  • Laterveer, Robert (Institut de Recherche Mathematique Avancee CNRS - Universite de Strasbourg)
  • Received : 2016.11.16
  • Accepted : 2017.08.04
  • Published : 2017.11.01
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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 $hyperk{\ddot{a}}hler$ varieties, and we prove this reformulated conjecture for one family of $hyperk{\ddot{a}}hler$ fourfolds.

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References

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