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Lemma 19.5.11F1FC05EF0A7C

Lemma 19.5.11.F1FC05EF0A7C Let $T\in \mathcal{Z}_{+}(X,\alpha )$ be a Kähler current with analytic singularities. Let $\pi \colon Y\rightarrow X$ be a proper bimeromorphic morphism and $(W_{\bullet },g)$ be the lifting of $Y_{\bullet }$ to $Y$. Then

\[ \Delta _{W_{\bullet }}(\pi ^*T)=\Delta _{Y_{\bullet }}(T)g. \]
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