2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146870We prove that the image of a finely holomorphic map on a fine domain in $\mathbb{C}$ is pluripolar subset of $\mathbb{C}^{n}$. We also discuss the relationship between pluripolar hulls and finely holomorphic function.15 pages, revised version: an example is added, Theorem 1.1 has been generalized to functions of several variablesComplex Variables32U15, 31C40text