The Kawamata-Morrison cone conjecture holds for Q-factorial terminal projective primitive symplectic varieties with b2 > 5 over characteristic zero fields, with an application to relative movable and nef cone conjectures for fibrations.
A proof of the Kawamata–Morrison cone conjecture for holomorphic symplectic varieties of K3[n] or generalized Kummer deformation type
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The Cone Conjecture for Primitive Symplectic Varieties over a Field of Characteristic Zero and an Application
The Kawamata-Morrison cone conjecture holds for Q-factorial terminal projective primitive symplectic varieties with b2 > 5 over characteristic zero fields, with an application to relative movable and nef cone conjectures for fibrations.