Ahlfors' currents in higher dimension

Mathematics – Complex Variables

Scientific paper

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Scientific paper

We consider a nondegenerate holomorphic map $f: V \mapsto X$ where $(X,
\omega)$ is a compact hermitian manifold of dimension higher 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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