PomeDefinition 16.6.7.E94E1B7F9193 Given $\varphi \in \mathrm{PSH}(X,\theta )$, we define its $\mathcal{I}$-envelope as follows:
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16.6.8
\begin{equation} P_{\theta }[\varphi ]_{\mathcal{I}}\coloneqq \operatorname *{sup}_{}{}\! {}^{*}\{ \psi \in \mathrm{PSH}(X,\theta ): \psi \leq 0,\psi \sim _{\mathcal{I}} \varphi \} . \end{equation}
If $\varphi =P_{\theta }[\varphi ]_{\mathcal{I}}$, we say $\varphi $ is an $\mathcal{I}$-model potential (in $\mathrm{PSH}(X,\theta )$).
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