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arXiv · 1501.02984

Remarks and questions on coisotropic subvarieties and 0-cycles of hyper-Kähler varieties

Claire Voisin
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Abstract

This paper proposes a conjectural picture for the structure of the Chow ring of a (projective) hyper-Kähler variety, and the construction of a Beauville decomposition, with emphasis on the Chow group of $0$-cycles, which is endowed with a natural filtration of Brill-Noether type. Some of the conjectures are proved in the case of Hilbert schemes of K3 surfaces and Fano varieties of lines of cubic fourfolds.

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Claire Voisin. 2015-01-13. Remarks and questions on coisotropic subvarieties and 0-cycles of hyper-Kähler varieties. https://arxiv.org/abs/1501.02984

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