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Preprints, Working Papers, ... Year : 2022

On the Chow ring of Fano fourfolds of K3 type

Abstract

We show that a wide range of Fano varieties of K3 type, recently constructed by Bernardara, Fatighenti, Manivel and Tanturri in [6], have a multiplicative Chow-Künneth decomposition, in the sense of Shen-Vial. It follows that the Chow ring of these Fano varieties behaves like that of K3 surfaces. As a side result, we obtain some criteria for the Franchetta property of blown-up projective varieties.
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hal-03824684 , version 1 (21-10-2022)

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Michele Bolognesi, Robert Laterveer. On the Chow ring of Fano fourfolds of K3 type. 2022. ⟨hal-03824684⟩
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