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A Brief Note Concerning Hard Lefschetz for Chow Groups

Published online by Cambridge University Press:  20 November 2018

Robert Laterveer
Robert Laterveer*
Affiliation:
Institut de Recherche Mathématique Avancée, Université de Strasbourg, 6 Rue René Descartes, 67084 Strasbourg CEDEX, France e-mail: laterv@math.unistra.fr
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Abstract

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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.

Keywords

14C1514C2514C30algebraic cyclesChow groupsfinite-dimensional motives
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 59 , Issue 1 , 01 March 2016 , pp. 144 - 158
Copyright
Copyright © Canadian Mathematical Society 2016

References

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