Theorem 20.2.45`7931695F46E8`

Theorem 20.2.45.7931695F46E8 Let $\varphi \in \mathrm{QPSH}(X)$. Let $p\colon X\rightarrow \mathbb {P}^ N$ be a morphism ($N\geq 1$). Define

\[ \mathcal{G}\coloneqq \Bigl \{ H\in |\mathcal{O}_{\mathbb {P}^ N}(1)|: H'\coloneqq H\cap X \textup{ is smooth and } \mathcal{I}(\varphi |_{H'})=\operatorname{Res}_{H'}\bigl (\mathcal{I}(\varphi )\bigr )\Bigr \} . \]

Then $\mathcal{G}\subseteq |\mathcal{O}_{\mathbb {P}^ N}(1)|$ is co-pluripolar.

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@misc{pome-tag-7931695F46E8,
  author = {{Pome contributors}},
  title = {Theorem 20.2.45},
  howpublished = {Pome},
  url = {https://mingchenxia.github.io/Pome/tag/7931695F46E8/}
}

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Theorem 20.2.457931695F46E8

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Theorem 20.2.45`7931695F46E8`