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

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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… Click to show full 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.

Keywords: fano varieties; chow ring; varieties fatighenti; fatighenti mongardi; ring fano

Journal Title: Communications in Algebra
Year Published: 2021

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