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ON THE CHOW RING OF FANO FOURFOLDS OF K3 TYPE

Abstract : We show that a wide range of Fano varieties of K3 type, recently constructed by Bernardara, Fatighenti, Manivel and Tanturri in [6], have a multiplicative Chow-Künneth decomposition, in the sense of Shen-Vial. It follows that the Chow ring of these Fano varieties behaves like that of K3 surfaces. As a side result, we obtain some criteria for the Franchetta property of blown-up projective varieties.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03824684
Contributor : Michele Bolognesi Connect in order to contact the contributor
Submitted on : Friday, October 21, 2022 - 4:11:38 PM
Last modification on : Thursday, October 27, 2022 - 3:41:50 AM

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Fanology2.pdf
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  • HAL Id : hal-03824684, version 1
  • ARXIV : 2209.12645

Citation

Michele Bolognesi, Robert Laterveer. ON THE CHOW RING OF FANO FOURFOLDS OF K3 TYPE. 2022. ⟨hal-03824684⟩

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