Remarks And Questions On Coisotropic Subvarieties and 0-Cycles of Hyper-Kähler Varieties

By Claire Voisin. 2015

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This paper proposes a conjectural picture for the structure of the Chow ring CH*(X) of a (projective) hyper-Kahler variety X, that seems to emerge from the recent papers [9], [24], [25], [26], with emphasis on the Chow group CH0(X) of 0-cycles (in this paper, Chow groups will be taken with ℚ-coefficients). Our motivation is Beauville’s conjecture (see [5]) that for such an X, the Bloch-Beilinson filtration has a natural, multiplicative, splitting.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/cc725f0cb22fcf4e4dbb8e1834aae935818faa8d