Abundance for Kaehler threefolds

Frédéric Campana (1) , Andreas Hoering (2) , Thomas Peternell (3)

1 IECL - Institut Élie Cartan de Lorraine
2 LJAD - Laboratoire Jean Alexandre Dieudonné
3 Mathematisches Institut [Bayreuth]

Let X be a compact Kaehler threefold with terminal singularities such that K_X is nef. We prove that K_X is semiample.

Mots clés: MMP; Kaehler manifolds; abundance

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Frédéric Campana, Andreas Hoering, Thomas Peternell. Abundance for Kaehler threefolds. 2014. ⟨hal-00958609v2⟩