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On the Chow ring of Fano varieties of type $S2$
Published 19 Jun 2020 in math.AG | (2006.11314v1)
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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