On the Chow groups of hypersurfaces in symplectic Grassmannians

Abstract

Let $Y$ be a Plücker hypersurface in a symplectic Grassmannian $I_{1}Gr(3,n)$ or a bisymplectic Grassmannian $I_{2}Gr(3,n)$. We show that many Chow groups of $Y$ inject into cohomology.

arXiv comment10 pages, to appear in Serdica Math. J., comments welcome ! arXiv admin note: text overlap with arXiv:2012.06207