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HyperK\"ahler Manifolds and Birational Transformations in dimension 4

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arxiv math/0004154 v1 pith:H53XYNTZ submitted 2000-04-25 math.AG

Dan Burns , Yi Hu , Tie Luo This is my paper
classification math.AG
keywords birationalahlerdimensionhyperkmanifoldstransformationsassumptioncomponent
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We show that any birational map between projective hyperK\"ahler 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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