On the Chow Ring of Fano Fourfolds of K3 type

2022/09/26 by Bolognesi, Michele, Laterveer, Robert · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2209.12645

Abstract

We show that a wide range of Fano varieties of K3 type, recently constructed by Bernardara, Fatighenti, Manivel and Tanturri, 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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• The Chow ring of a sequence of point and rational curve blow-ups

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