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arXiv · 2105.06856

On the motive of codimension 2 linear sections of $\hbox{Gr}(3,6)$

Robert Laterveer
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Abstract

We consider Fano sevenfolds $Y$ obtained by intersecting the Grassmannian $\hbox{Gr}(3,6)$ 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. 2021-05-14. On the motive of codimension 2 linear sections of $\hbox{Gr}(3,6)$. https://arxiv.org/abs/2105.06856

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