Mori fibre spaces for K\"ahler threefolds

23 Oct 2017  ·  Höring Andreas, Peternell Thomas ·

Let X be a compact Kaehler threefold such that the base of the MRC-fibration has dimension two. We prove that X is bimeromorphic to a Mori fibre space... Together with our earlier result arXiv:1304.4013 this completes the MMP for compact Kaehler threefolds: let X be a non-projective compact Kaehler threefold. Then X has a minimal model or X is bimeromorphic to a Mori fibre space over a non-projective Kaehler surface. read more

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Algebraic Geometry Complex Variables