PomeDefinition 20.1.14.165D43352903 Let $T$ be a closed positive $(1,1)$-current on $X$. Given any modification $\pi \colon Y\rightarrow X$, we define
11.3
\begin{equation} \mathbb {D}(T)_ Y\coloneqq \left\{ \operatorname{Reg}\pi ^*T \right\} \in \mathrm{H}^{1,1}(Y,\mathbb {R}). \end{equation}
We call $\mathbb {D}(T)$ the b-divisor of $T$.
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