Categorical Torelli theorems for Gushel–Mukai threefolds
Augustinas Jacovskis,
Xun Lin,
Zhiyu Liu
et al.
Abstract:We show that a general ordinary Gushel–Mukai (GM) threefold can be reconstructed from its Kuznetsov component together with an extra piece of data coming from tautological subbundle of the Grassmannian . We also prove that determines the birational isomorphism class of , while determines the isomorphism class of a special GM threefold if it is general. As an application, we prove a conjecture of Kuznetsov–Perry in dimension 3 under a mild assumption. Finally, we use to restate a conjecture of Debarre–Ili… Show more
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