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Vol. 46 No. 3 (2020)
Serdica Mathematical Journal

Articles

On the Chow groups of hypersurfaces in symplectic Grassmannians

Published 18-06-2021

  • Robert Laterveer

Robert Laterveer
Université de Strasbourg

Abstract

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.

2020 Mathematics Subject Classification:

14C15, 14C25, 14C30

Keywords

algebraic cycles, Chow groups, motive, Bloch-Beilinson conjectures

Full text

Author Details

Robert Laterveer

Institut de Recherche Mathématique Avancée
CNRS – Université de Strasbourg
7 Rue René Descartes
67084 Strasbourg CEDEX, France
e-mail: robert.laterveer@math.unistra.fr

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