Definition 10.4.11A72955F9A4C1

Definition 10.4.11.A72955F9A4C1 A class $\alpha $ is modified nef if for every $\varepsilon >0$ there is a closed current $T_\varepsilon \in \alpha $ with $T_\varepsilon \geq -\varepsilon \omega $ and $\nu (T_\varepsilon +\varepsilon \omega ,D)=0$ for every prime divisor $D$. We write $\mathcal{MN}$ for the cone of modified nef classes. A closed positive $(1,1)$-current $T$ with $\nu (T,D)=0$ for every prime divisor $D$ is called non-divisorial.