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Mori fibre spaces for Kähler threefolds

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01144542
Contributor : Andreas Höring <>
Submitted on : Tuesday, April 21, 2015 - 9:40:29 PM
Last modification on : Tuesday, May 26, 2020 - 6:50:52 PM

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  • HAL Id : hal-01144542, version 1

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Andreas Höring, Thomas Peternell. Mori fibre spaces for Kähler threefolds. J. Math. Sci. Univ. Tokyo, 2015, Kodaira Centennial Issue, 22, pp.1-28. ⟨hal-01144542⟩

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