HyperKähler Manifolds and Birational Transformations in dimension 4

Details HyperKähler Manifolds and Birational Transformations in dimension 4 HyperKähler Manifolds and Birational Transformations in dimension 4

2000-04-25

arxiv.org/abs/math/0004154v1

Mathematics

Algebraic Geometry

Scientific paper

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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