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Mori Fibre Spaces for Kähler Threefolds
Höring, Andreas
92388
Peternell, Thomas
92389
415
MMP
rational curves
Zariski decomposition
Kähler manifolds
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 non-projective compact Kähler threefold. Then X has a minimal model or X is bimeromorphic to a Mori fibre space over a non-projective Kähler surface.
departmental bulletin paper
Graduate School of Mathematical Sciences, The University of Tokyo
2015-02-27
application/pdf
Journal of mathematical sciences, the University of Tokyo
1
22
219
246
AA11021653
13405705
https://repository.dl.itc.u-tokyo.ac.jp/record/39973/files/jms220107.pdf
eng