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arXiv · 1507.05155

On the Chow group of zero-cycles of a generalized Kummer variety

Hsueh-Yung Lin
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Abstract

For a generalized Kummer variety X of dimension 2n, we will construct for each 0 < i < n some co-isotropic subvarieties in X foliated by i-dimensional constant cycle subvarieties. These subvarieties serve to prove that the rational orbit filtration introduced by Voisin on the Chow group of zero-cycles of a generalized Kummer variety coincides with the induced Beauville decomposition from the Chow ring of abelian varieties. As a consequence, the rational orbit filtration is opposite to the conjectural Bloch-Beilinson filtration for generalized Kummer varieties.

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Hsueh-Yung Lin. 2015-07-18. On the Chow group of zero-cycles of a generalized Kummer variety. https://arxiv.org/abs/1507.05155

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