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HyperKähler Manifolds and Birational Transformations in dimension 4

Dan Burns, Yi Hu, Tie Luo

math.AGarXiv:math/0004154

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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