Mori fibre spaces for Kähler threefolds
Résumé
Let X be a compact Kähler 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 [HP13]
this completes the MMP for compact Kähler threefolds: let X be a nonprojective
compact Kähler threefold. Then X has a minimal model or
X is bimeromorphic to a Mori fibre space over a non-projective Kähler
surface.