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ON THE CHOW RING OF CERTAIN HYPERSURFACES IN A GRASSMANNIAN

ON THE CHOW RING OF CERTAIN HYPERSURFACES IN A GRASSMANNIAN

This note is about Plucker hyperplane sections X of the Grassmannian Gr(3, V 10). Inspired by the analogy with cubic fourfolds, we prove that the only non-trivial Chow group of X is generated by Grassmannians of type Gr(3, W 6) contained in X. We also prove that a certain subring …