Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces

Details Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces

2008-05-27

arxiv.org/abs/0805.4162v2

Mathematics

Algebraic Geometry

30 pages

Scientific paper

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.

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