Hard Lefschetz for Chow groups of generalized Kummer varieties
arXiv:1611.08819 · doi:10.1007/s12188-016-0140-7
Abstract
The main result of this note is a hard Lefschetz theorem for the Chow groups of generalized Kummer varieties. The same argument also proves hard Lefschetz for Chow groups of Hilbert schemes of abelian surfaces. As a consequence, we obtain new information about certain pieces of the Chow groups of generalized Kummer varieties, and Hilbert schemes of abelian surfaces. The proofs are based on work of Shen-Vial and Fu-Tian-Vial on multiplicative Chow-Künneth decompositions.
9 pages, to appear in Abh. Math. Semin. Univ. Hambg., comments welcome !