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June 2022 On the Motive of Codimension 2 Linear Sections of Gr(3, 6)
Robert Laterveer
Tokyo J. Math. 45(1): 89-101 (June 2022). DOI: 10.3836/tjm/1502179351

Abstract

We consider Fano sevenfolds Y obtained by intersecting the Grassmannian Gr(3, 6) with a codimension 2 linear subspace (with respect to the Plücker embedding). We prove that the motive of Y is Kimura finite-dimensional. We also prove the generalized Hodge conjecture for all powers of Y.

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Robert Laterveer. "On the Motive of Codimension 2 Linear Sections of Gr(3, 6)." Tokyo J. Math. 45 (1) 89 - 101, June 2022. https://doi.org/10.3836/tjm/1502179351

Information

Received: 13 July 2020; Revised: 8 January 2021; Published: June 2022
First available in Project Euclid: 4 October 2021

Digital Object Identifier: 10.3836/tjm/1502179351

Subjects:
Primary: 14C15
Secondary: 14C25 , 14C30

Keywords: algebraic cycles , Bloch-Beilinson conjectures , Chow groups , generalized Hodge conjecture , Kimura finite-dimensionality , motives

Rights: Copyright © 2022 Publication Committee for the Tokyo Journal of Mathematics

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Vol.45 • No. 1 • June 2022
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