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.

30 pages

References in corpus (2)

• The Fano variety of lines and rationality problem for a cubic hypersurface
• Derived categories of cubic and V14 threefolds

Cited by in corpus (1)

• Automorphisms of positive entropy on some hyperKahler manifolds via derived automorphisms of K3 surfaces