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arXiv · 2006.11314

On the Chow ring of Fano varieties of type $S2$

Robert Laterveer
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Abstract

We show that certain Fano eightfolds (obtained as hyperplane sections of an orthogonal Grassmannian, and studied by Ito-Miura-Okawa-Ueda and by Fatighenti-Mongardi) have a multiplicative Chow-K\"unneth decomposition. As a corollary, the Chow ring of these eightfolds behaves like that of K3 surfaces.

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Robert Laterveer. 2020-06-19. On the Chow ring of Fano varieties of type $S2$. https://arxiv.org/abs/2006.11314

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