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

Abstract

Conjecturally, Fano varieties of K3 type admit a multiplicative Chow-Künneth 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.

17 pages, to appear in Comm. in Algebra, comments welcome. arXiv admin note: text overlap with arXiv:2009.11061. v2: updated references

References in corpus (2)

• The generalized Franchetta conjecture for some hyper-Kähler varieties, II
• Algebraic cycles and Gushel-Mukai fivefolds

Cited by in corpus (1)

• On the tautological ring of Humbert curves