Definition 19.5.731DAEE985011

Definition 19.5.7.31DAEE985011 When $T$ is a Kähler current with analytic singularities, we take a modification $\pi \colon Y\rightarrow X$ so that

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   9AA6F51E3D18 19.5.8

   \begin{equation} \pi ^*T=[D]+R, \end{equation}

   where $D$ is an effective $\mathbb {Q}$-divisor on $Y$ and $R$ is a closed positive $(1,1)$-current with bounded potential, and

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   the lifting $(Z_{\bullet },g)$ of $Y_{\bullet }$ to $Y$ exists.

Define