On the Chow ring of certain Fano fourfolds

Abstract

We prove that certain Fano fourfolds of K3 type constructed by Fatighenti–Mongardi have a multiplicative Chow–Künneth decomposition. We present some consequences for the Chow ring of these fourfolds.

Keywords

• algebraic cycles
• chow ring
• motives
• beauville “splitting property”
• fano variety
• k3 surface