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

2021/07/31 by Robert Laterveer · 1 citation
Mathematics · #math.AG #msc:14C15

paper · pdf · doi:10.1080/00927872.2021.1955900

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

arxiv created 2021/08/19 · arxiv updated 2021/08/20

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.

Citations

• Algebraic cycles and Gushel-Mukai fivefolds

Cited by

• Some new Fano varieties with a multiplicative Chow-Künneth decomposition