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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.
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참고문헌 (32)
참고문헌 신청
A. Beauville / 1983 / Classification of algebraic and analytic manifolds (Katata, 1982) / Birkhauser Boston : 1 ~ 26
A. Beauville / 1983 / Varietes Kahleriennes dont la premiere classe de Chern est nulle / J. Differential Geom 18 (4) : 755 ~ 782
A. Beauville / 1986 / Sur l'anneau de Chow d'une variete abelienne / Math. Ann 273 (4) : 647 ~ 651
A. Beauville / 2007 / Algebraic cycles and motives / Cambridge University Press
A. Beauville / 2014 / Some surfaces with maximal Picard number / J. Ec. Polytech. Math 1 : 101 ~ 116
A. Beauville / 1983 / Varietes Kahleriennes dont la premiere classe de Chern est nulle / J. Differential Geom 18 (4) : 755 ~ 782
A. Beauville / 1986 / Sur l'anneau de Chow d'une variete abelienne / Math. Ann 273 (4) : 647 ~ 651
A. Beauville / 2007 / Algebraic cycles and motives / Cambridge University Press
A. Beauville / 2014 / Some surfaces with maximal Picard number / J. Ec. Polytech. Math 1 : 101 ~ 116
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