• 제목/요약/키워드: $hyperk{\ddot{a}}hler$ varieties

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ON VOISIN'S CONJECTURE FOR ZERO-CYCLES ON HYPERKÄHLER VARIETIES

  • Laterveer, Robert
    • 대한수학회지
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    • 제54권6호
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    • pp.1841-1851
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    • 2017
  • 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.