Noncommutative K3 conjecture for the Debarre–Voisin hyperplane section
Noncommutative K3 conjecture for the Debarre–Voisin hyperplane section
Let be a very general hyperplane section, and let be the K3 category in
where the are exceptional objects. Noncommutative K3 conjecture. There is no smooth projective K3 surface and no Brauer class on such that
The claim expresses the expectation that the K3 category of a very general Debarre–Voisin hyperplane section is a genuine deformation of a K3 category rather than the derived category of a twisted K3 surface; the source states that this is not known in general.
Sources & referencesView supporting material
Primary source
Marcello Bernardara, Enrico Fatighenti and Laurent Manivel, “Nested varieties of K3 type”, arXiv:1912.03144 (2019).
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