Albanese map of special manifolds: a correction
Campana, Frédéric1
1 Université de Lorraine Département de Mathématiques F 54506, Vandœuvre-Les-Nancy (France)
Annales de l'Institut Fourier, Online first, 6 p.

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 the present journal in 2004, which was incomplete.

On montre qu’une fibration d’une variété compacte Kählérienne X sur une variété Abélienne n’a pas de fibre multiple en codimension 1. Ce résultat renforce et généralise des résultats précédents de Kawamata et Viehweg lorsque κ(X)=0, et corrige la preuve incomplète donnée dans ce journal en 2004.

Received:
Revised:
Accepted:
Online First:
DOI: 10.5802/aif.3563
Classification: 14K99, 14K12, 14D99, 14D06, 14J40
Keywords: Albanese map, special variety, orbifold base.
Mot clés : Apllication d’Albanese, variété spéciale, base orbifolde.
Campana, Frédéric 1

1 Université de Lorraine Département de Mathématiques F 54506, Vandœuvre-Les-Nancy (France) 
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Campana, Frédéric. Albanese map of special manifolds: a correction. Annales de l'Institut Fourier, Online first, 6 p.

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