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arXiv · 0805.4162

Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces

Brendan Hassett·Yuri Tschinkel
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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.

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Brendan Hassett, Yuri Tschinkel. 2008-05-27. Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces. https://arxiv.org/abs/0805.4162

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