Lagrangian embeddings of cubic fourfolds containing a plane

Abstract

We prove that a very general cubic fourfold containing a plane can be embedded into a holomorphic symplectic eightfold as a Lagrangian submanifold. We construct the desired holomorphic symplectic eightfold as a moduli space of Bridgeland stable objects in the derived category of the twisted K3 surface corresponding to the cubic fourfold containing a plane.

arXiv comment30 pages

References in corpus (6)

• Hodge theory and derived categories of cubic fourfolds
• The Fano variety of lines and rationality problem for a cubic hypersurface
• On the symplectic eightfold associated to a Pfaffian cubic fourfold
• Derived categories of cubic and V14 threefolds
• Projectivity and Birational Geometry of Bridgeland moduli spaces
• Analytic extensions of algebraic isomorphisms

Cited by in corpus (3)

• On the symplectic eightfold associated to a Pfaffian cubic fourfold
• The generalized Franchetta conjecture for some hyper-Kähler varieties, II
• Automorphisms of positive entropy on some hyperKahler manifolds via derived automorphisms of K3 surfaces