Mori fibre spaces for K\"ahler threefolds
Algebraic Geometry
2017-10-30 v3 Complex Variables
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.
Keywords
Cite
@article{arxiv.1310.5837,
title = {Mori fibre spaces for K\"ahler threefolds},
author = {Andreas Höring and Thomas Peternell},
journal= {arXiv preprint arXiv:1310.5837},
year = {2017}
}
Comments
21 pages, changed metadata. arXiv admin note: text overlap with arXiv:1304.4013, arXiv:1403.3175