On the Chow ring of Fano varieties on the Fatighenti-Mongardi list

Robert Laterveer (1)

1 IRMA - Institut de Recherche Mathématique Avancée

Conjecturally, Fano varieties of K3 type admit a multiplicative Chow-K\"unneth decomposition, in the sense of Shen-Vial. We prove this for many of the families of Fano varieties of K3 type constructed by Fatighenti-Mongardi. This has interesting consequences for the Chow ring of these varieties.

Domaines: Mathématiques [math]

Robert Laterveer. On the Chow ring of Fano varieties on the Fatighenti-Mongardi list. Communications in Algebra, In press, ⟨10.1080/00927872.2021.1955900⟩. ⟨hal-03297272⟩