Example 18.1.13.6212EEC14B63 The potential in example 16.8.19 is not $\mathcal{I}$-good. In fact, since all Lelong numbers of $\varphi $ vanish, we know that $\varphi \sim _{\mathcal{I}}0$, hence
\[ P_{2\omega }[\varphi ]_{\mathcal{I}}=0. \]
On the other hand,
\[ \int _ X (2\omega +\mathrm{dd}^{\mathrm{c}}\varphi )^1=\int _ X \omega <\int _ X (2\omega ), \]
where $(2\omega +\mathrm{dd}^{\mathrm{c}}\varphi )^1$ is understood in the non-pluripolar sense.
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