A brief note concerning hard Lefschetz for Chow groups
Algebraic Geometry
2019-08-15 v1
Abstract
We formulate a conjectural hard Lefschetz property for Chow groups, and prove this in some special cases: roughly speaking, for varieties with finite-dimensional motive, and for varieties whose self-product has vanishing middle-dimensional Griffiths group. An appendix includes related statements that follow from results of Vial.
Cite
@article{arxiv.1507.04486,
title = {A brief note concerning hard Lefschetz for Chow groups},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:1507.04486},
year = {2019}
}
Comments
15 pages. Comments welcome ! To appear (in slightly different version) in Canadian Math. Bulletin