Proposition 22.1.30`11099644479B`

Proposition 22.1.30.11099644479B Let $\Gamma \in \mathrm{PSH}^{\mathrm{NA}}(X,\theta )$ and $C\in \mathbb {R}$. Then

\[ \operatorname{vol}\Gamma =\operatorname{vol}(\Gamma +C). \]

Proof. It suffices to show that for each Kähler form $\omega $ on $X$,

\[ \operatorname{vol}\Gamma ^{\theta +\omega }_{-\infty }=\operatorname{vol}(\Gamma +C)^{\theta +\omega }_{-\infty }, \]

which is obvious. $\square$

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@misc{pome-tag-11099644479B,
  author = {{Pome contributors}},
  title = {Proposition 22.1.30},
  howpublished = {Pome},
  url = {https://mingchenxia.github.io/Pome/tag/11099644479B/}
}

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Proposition 22.1.3011099644479B

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Proposition 22.1.30`11099644479B`