Albanese map of special manifolds: a correction

Application d'Albanese des variétés spéciales: une correction

Frederic Bruno Campana (1)

1 IECL - Institut Élie Cartan de Lorraine

We show that any fibration of a 'special' compact Kähler manifold X onto an Abelian variety has no multiple fibre in codimension one. This statement strengthens and extends previous results of Kawamata and Viehweg when κ(X) = 0. This also corrects the proof given in [2], 5.3 which was incomplete.

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

Frederic Bruno Campana. Albanese map of special manifolds: a correction. 2021. ⟨hal-03344242⟩