A Brief Note Concerning Hard Lefschetz for Chow Groups
Canadian mathematical bulletin, Tome 59 (2016) no. 1, pp. 144-158
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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.
Mots-clés :
14C15, 14C25, 14C30, algebraic cycles, Chow groups, finite-dimensional motives
Laterveer, Robert. A Brief Note Concerning Hard Lefschetz for Chow Groups. Canadian mathematical bulletin, Tome 59 (2016) no. 1, pp. 144-158. doi: 10.4153/CMB-2015-046-x
@article{10_4153_CMB_2015_046_x,
author = {Laterveer, Robert},
title = {A {Brief} {Note} {Concerning} {Hard} {Lefschetz} for {Chow} {Groups}},
journal = {Canadian mathematical bulletin},
pages = {144--158},
year = {2016},
volume = {59},
number = {1},
doi = {10.4153/CMB-2015-046-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-046-x/}
}
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