Pome

Proposition 22.1.28ECFDC5EDD4F2

Proposition 22.1.28.ECFDC5EDD4F2 Let $\Gamma \in \mathrm{PSH}^{\mathrm{NA}}(X,\theta )$ and $C\in \mathbb {R}$. Suppose that $\omega $ is a smooth closed positive $(1,1)$-form on $X$. Then

\[ P_{\theta +\omega }[\Gamma ]_{\mathcal{I}}+C=P_{\theta +\omega }[\Gamma +C]_{\mathcal{I}}. \]

Proof. This is clear by definition. $\square$

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