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SOME MOTIVIC PROPERTIES OF GUSHEL-MUKAI SIXFOLDS

Abstract : Gushel-Mukai sixfolds are an important class of so-called Fano-K3 varieties. In this paper we show that they admit a multiplicative Chow-Künneth decomposition modulo algebraic equivalence and that they have the Franchetta property. As side results, we show that double EPW sextics and cubes have the Franchetta property, modulo algebraic equivalence, and some vanishing results for the Chow ring of Gushel-Mukai sixfolds.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03824690
Contributor : Michele Bolognesi Connect in order to contact the contributor
Submitted on : Friday, October 21, 2022 - 4:12:56 PM
Last modification on : Thursday, October 27, 2022 - 3:41:49 AM

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gm6folds.pdf
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  • HAL Id : hal-03824690, version 1
  • ARXIV : 2201.11175

Citation

Michele Bolognesi, Robert Laterveer. SOME MOTIVIC PROPERTIES OF GUSHEL-MUKAI SIXFOLDS. 2022. ⟨hal-03824690⟩

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