Ahlfors’ currents in higher dimension

On considère une application holomorphe non dégénérée $f:V\mapsto X$ où $(X,\omega )$ est une variété Hermitienne compacte de dimension supérieure ou égale à $k$ et $V$ est une variété complexe, connexe, ouverte de dimension $k$. Dans cet article, nous donnons des critères qui permettent de construire des courants d’Ahlfors dans $X$.

We consider a nondegenerate holomorphic map $f:V\mapsto X$ where $(X,\omega )$ is a compact Hermitian manifold of dimension larger than or equal to $k$ and $V$ is an open connected complex manifold of dimension $k$. In this article we give criteria which permit to construct Ahlfors’ currents in $X$.

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