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arxiv: math/0004154 · v1 · submitted 2000-04-25 · 🧮 math.AG

HyperK\"ahler Manifolds and Birational Transformations in dimension 4

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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