We consider Fano sevenfolds obtained by intersecting the Grassmannian with a codimension 2 linear subspace (with respect to the Plücker embedding). We prove that the motive of is Kimura finite-dimensional. We also prove the generalized Hodge conjecture for all powers of .
"On the Motive of Codimension 2 Linear Sections of ." Tokyo J. Math. 45 (1) 89 - 101, June 2022. https://doi.org/10.3836/tjm/1502179351