Hard Lefschetz for Chow groups of generalized Kummer varieties
Algebraic Geometry
2016-11-29 v1
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-K\"unneth decompositions.
Keywords
Cite
@article{arxiv.1611.08819,
title = {Hard Lefschetz for Chow groups of generalized Kummer varieties},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:1611.08819},
year = {2016}
}
Comments
9 pages, to appear in Abh. Math. Semin. Univ. Hambg., comments welcome !