Proposition 22.1.25`06DFF1DE1519`

Proposition 22.1.25.06DFF1DE1519 Let $\Gamma \in \mathrm{PSH}^{\mathrm{NA}}(X,\theta )$ and $\Gamma '\in \mathrm{PSH}^{\mathrm{NA}}(X,\theta ')$. Suppose that $\omega ,\omega '$ are two smooth closed positive $(1,1)$-forms on $X$. Then

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

Proof. This is a direct consequence of 17.15.9. $\square$

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BibTeX citation

@misc{pome-tag-06DFF1DE1519,
  author = {{Pome contributors}},
  title = {Proposition 22.1.25},
  howpublished = {Pome},
  url = {https://mingchenxia.github.io/Pome/tag/06DFF1DE1519/}
}

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Proposition 22.1.2506DFF1DE1519

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Proposition 22.1.25`06DFF1DE1519`