English

Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces

Algebraic Geometry 2008-05-28 v2

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.

Keywords

Cite

@article{arxiv.0805.4162,
  title  = {Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces},
  author = {Brendan Hassett and Yuri Tschinkel},
  journal= {arXiv preprint arXiv:0805.4162},
  year   = {2008}
}

Comments

30 pages

R2 v1 2026-06-21T10:44:37.526Z