Definition 5.19.160EB97717F408

Definition 5.19.16.0EB97717F408 Let $\alpha \in \mathrm{H}^{1,1}(X,\mathbb {R})$ be a pseudo-effective class and $D$ be a prime divisor on $X$. We define the Lelong number $\nu (\alpha ,D)$ as follows:

1. C6833F83A5C1

   When $\alpha $ is big, define $\nu (\alpha ,D)=\nu (T,D)$ for any closed positive $(1,1)$-current $T\in \alpha $ with minimal singularities.

2. 3CE6AD34390C

   In general, define

   \[ \nu (\alpha ,D)\coloneqq \lim _{\epsilon \to 0+}\nu (\alpha +\epsilon \{ \omega \} ,D). \]