Some new Fano varieties with a multiplicative Chow-K\"unneth decomposition

Robert Laterveer

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arXiv · 2111.07069

Some new Fano varieties with a multiplicative Chow-K\"unneth decomposition

Robert Laterveer

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Abstract

Let $Y$ be a smooth dimensionally transverse intersection of the Grassmannian $\hbox{Gr}(2,n)$ with 3 Pl\"ucker hyperplanes. We show that $Y$ admits a multiplicative Chow-K\"unneth decomposition, in the sense of Shen-Vial. As a consequence, a certain tautological subring of the Chow ring of powers of $Y$ injects into cohomology.

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Robert Laterveer. 2021-11-13. Some new Fano varieties with a multiplicative Chow-K\"unneth decomposition. https://arxiv.org/abs/2111.07069

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