A remark on the Torelli theorem for cubic fourfolds

Abstract

In this note, we give a short proof of the Torelli theorem for cubic fourfolds that relies on the global Torelli theorem for irreducible holomorphic symplectic varieties proved by Verbitsky.

5 pages, comments welcome

References in corpus (1)

• A survey of Torelli and monodromy results for holomorphic-symplectic varieties

Cited by in corpus (9)

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• Stability conditions on Kuznetsov components
• Some remarks on Fano threefolds of index two and stability conditions
• Automorphisms and Periods of Cubic Fourfolds
• Hochschild cohomology versus the Jacobian ring, and the Torelli theorem for cubic fourfolds
• Classification of polarized symplectic automorphisms of Fano varieties of cubic fourfolds
• On Irreducible Symplectic Varieties of ${K3}^{[n]}$-type in Positive Characteristic
• On the action of symplectic automorphisms on the $C{H}_0$-groups of some hyper-Kähler fourfolds
• Lines on the secant cubic hypersurfaces of Severi varieties