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HyperKähler Manifolds and Birational Transformations in dimension 4

Dan Burns·Yi Hu·Tie Luo
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Abstract

We show that any birational map between projective hyperKähler manifolds of dimension 4 is composed of a sequence of simple flops or elementary Mukai transformations under the assumption that each irreducible component of the indeterminacy of the birational map is normal.

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Dan Burns, Yi Hu, Tie Luo. 2000-04-25. HyperKähler Manifolds and Birational Transformations in dimension 4. https://arxiv.org/abs/math/0004154

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