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On the Chow ring of Fano varieties of type $S6$

Published 25 Apr 2020 in math.AG | (2004.12090v1)

Abstract: Fatighenti and Mongardi have defined Fano varieties of type S6 as zero loci of a certain vector bundle on the Grassmannian $\hbox{Gr}(2,10)$. These varieties have 3 Hodge structures of K3 type in their cohomology. We show that the Chow ring of these varieties also displays "K3 type" behaviour.

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