Definition 22.1.82.866728488224 Let $\Gamma \in \mathrm{PSH}^{\mathrm{NA}}(X,\theta )$. We define the analytification $\Gamma ^{\mathrm{An}}\colon X^{\operatorname{div}}\rightarrow [-\infty ,\infty )$ of $\Gamma $ as follows: For any $\omega \in \textup{Käh}(X)$, we define
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22.1.83
\begin{equation} \Gamma ^{\mathrm{An}}(v)\coloneqq \sup _{\tau \leq \Gamma _{\max }}\left(\Gamma _{\tau }^{\theta +\omega ,\mathrm{An}}(v)+\tau \right). \end{equation}
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