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arXiv · 1310.5837

Mori fibre spaces for K\"ahler threefolds

Andreas Höring·Thomas Peternell
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Abstract

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.

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Andreas Höring, Thomas Peternell. 2013-10-22. Mori fibre spaces for K\"ahler threefolds. https://arxiv.org/abs/1310.5837

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