Remarks on hard Lefschetz conjectures on Chow groups
arXiv:0905.4114 · doi:10.1007/s11425-009-0218-0
Abstract
We propose two conjectures of Hard Lefschetz type on Chow groups and prove them for some special cases. For abelian varieties, we shall show they are equivalent to well-known conjectures of Beauville and Murre.
to appear in Sciences in China, Ser. A Mathematics