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Pré-Publication, Document De Travail Année : 2023

RATIONALITY OF PESKINE VARIETIES

Daniele Faenzi

Résumé

We study the rationality of the Peskine sixfolds in P^9. We prove the rationality of the Peskine sixfolds in the divisor D^{3,3,10} inside the moduli space of Peskine sixfolds and we provide a cohomological condition which ensures the rationality of the Peskine sixfolds in the divisor D^{1,6,10} (notation from [BS]). We conjecture, as in the case of cubic fourfolds containing a plane, that the cohomological condition translates into a cohomological and geometric condition involving the Debarre-Voisin hyperkähler fourfold associated to the Peskine sixfold.

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Dates et versions

hal-03873604 , version 1 (27-11-2022)
hal-03873604 , version 2 (06-09-2023)

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Vladimiro Benedetti, Daniele Faenzi. RATIONALITY OF PESKINE VARIETIES. 2023. ⟨hal-03873604v2⟩
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