A Brief Note Concerning Hard Lefschetz for Chow Groups

Laterveer, Robert

Canadian mathematical bulletin, Tome 59 (2016) no. 1, pp. 144-158

Résumé

We formulate a conjectural hard Lefschetz property for Chow groups and prove it in some special cases, roughly speaking, for varieties with finite-dimensional motive, and for varieties whose self-product has vanishing middle-dimensional Griõths group. An appendix includes related statements that follow from results of Vial.

Détail

DOI : 10.4153/CMB-2015-046-x

Mots-clés : 14C15, 14C25, 14C30, algebraic cycles, Chow groups, finite-dimensional motives

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