On the Chow groups of hypersurfaces in symplectic Grassmannians
Serdica Mathematical Journal, Tome 46 (2021) no. 3, pp. 221-234
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Let \(Y\) be a Plüucker hypersurface in a symplectic Grassmannian \(I_1 \mathop{\rm Gr}(3,n)\) or a bisymplectic Grassmannian \(I_2 \mathop{\rm Gr}(3,n)\). We show that many Chow groups of \(Y\) inject into cohomology.
Keywords:
algebraic cycles, Chow groups, motive, Bloch-Beilinson conjectures, 14C15, 14C25, 14C30
@article{SMJ2_2021_46_3_a1,
author = {Laterveer, Robert},
title = {On the {Chow} groups of hypersurfaces in symplectic {Grassmannians}},
journal = {Serdica Mathematical Journal},
pages = {221--234},
publisher = {mathdoc},
volume = {46},
number = {3},
year = {2021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2021_46_3_a1/}
}
Laterveer, Robert. On the Chow groups of hypersurfaces in symplectic Grassmannians. Serdica Mathematical Journal, Tome 46 (2021) no. 3, pp. 221-234. http://geodesic.mathdoc.fr/item/SMJ2_2021_46_3_a1/