A brief note concerning hard Lefschetz for Chow groups

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.

15 pages. Comments welcome ! To appear (in slightly different version) in Canadian Math. Bulletin

References in corpus (3)

• Projectors on the intermediate algebraic Jacobians
• Niveau and coniveau filtrations on cohomology groups and Chow groups
• Remarks on hard Lefschetz conjectures on Chow groups

Cited by in corpus (2)

• On a multiplicative version of Bloch's conjecture
• A short note on the weak Lefschetz property for Chow groups