Abundance for Kähler threefolds

Frédéric Campana; Andreas Höring; Thomas Peternell

doi:10.24033/asens.2301

Journal articles

Abundance for Kähler threefolds

Frédéric Campana ¹ Andreas Höring ² Thomas Peternell ³

1 IECL - Institut Élie Cartan de Lorraine

2 JAD - Laboratoire Jean Alexandre Dieudonné

3 Mathematisches Institut [Bayreuth]

Abstract : Let X be a compact Kähler threefold with terminal singularities such that KX is nef. We prove that KX is semiample, i.e., some multiple mKX is generated by global sections.

Keywords : log MMP cone theorem contraction theorem rational curves Zariski decomposition Kähler manifolds abundance.

Document type :

Journal articles

Domain :

Mathematics [math] / Complex Variables [math.CV]

Mathematics [math] / Algebraic Geometry [math.AG]

Complete list of metadata

https://hal.univ-cotedazur.fr/hal-02529538
Contributor : Andreas Höring <>
Submitted on : Thursday, April 2, 2020 - 1:04:48 PM
Last modification on : Tuesday, March 2, 2021 - 5:12:06 PM

Abundance for Kähler threefolds

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Abundance for Kähler threefolds

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