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2021 On the Motive of Codimension 2 Linear Sections of $\mathrm{Gr}(3,6)$
Robert LATERVEER
Tokyo J. Math. Advance Publication 1-13 (2021). DOI: 10.3836/tjm/1502179351

Abstract

We consider Fano sevenfolds $Y$ obtained by intersecting the Grassmannian $\mathrm{Gr}(3,6)$ with a codimension 2 linear subspace (with respect to the Pl\"ucker 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 $\mathrm{Gr}(3,6)$." Tokyo J. Math. Advance Publication 1 - 13, 2021. https://doi.org/10.3836/tjm/1502179351

Information

Published: 2021
First available in Project Euclid: 4 October 2021

Digital Object Identifier: 10.3836/tjm/1502179351

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

Rights: Copyright © 2021 Publication Committee for the Tokyo Journal of Mathematics

JOURNAL ARTICLE
13 PAGES

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