Let ${\overline{L}}$ be a smooth metrized line bundle and $\mathbb{D}=\{z\in\mathbb{C}|\,|z|\leq 1\}$, the unit disk of $\mathbb{C}$. We say that ${\overline{L}}$ is semipositive if, for every holomorphic map $\varphi\colon\mathbb{D}\longrightarrow X^{{\text{\rm an}}},$

$$\frac{1}{2\pi i}\int_{\mathbb{D}}\varphi^{\ast}\operatorname{c}_{1}({\overline{L}})\geq 0.$$

We say that ${\overline{L}}$ is positive if this integral is strictly positive for all non-constant holomorphic maps as before.