2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154426We consider a nondegenerate holomorphic map $f: V \mapsto X$ where $(X, ω)$ 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 $X$.Complex Variables32A15; 32U40text