Mori fibre spaces for Kähler threefolds

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.

21 pages, changed metadata. arXiv admin note: text overlap with arXiv:1304.4013, arXiv:1403.3175

Cited by in corpus (3)

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• Compact Kähler threefolds with the action of an abelian group of maximal rank
• Existence of the equivariant minimal model program for compact Kähler threefolds with the action of an abelian group of maximal rank