Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces
arXiv:0805.4162
Abstract
We study the birational geometry of irreducible holomorphic symplectic varieties arising as varieties of lines of general cubic fourfolds containing a cubic scroll. We compute the ample and moving cones, and exhibit a birational automorphism of infinite order explaining the chamber decomposition of the moving cone.
30 pages