Remark 5.16.3`9ADE309D4F8B`

Remark 5.16.3.9ADE309D4F8B Our definition of the Lelong number is not standard. It differs from the standard definition by a factor of $2$. As a mnemonic, just remember

\[ \nu \left(\log |z|^2,0\right)=1 \quad (\text{instead of } 2). \]

Our convention of the Lelong numbers together with the convention of the multiplier ideal sheaves below make sure that (5.16.16) has no extra factors.

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@misc{pome-tag-9ADE309D4F8B,
  author = {{Pome contributors}},
  title = {Remark 5.16.3},
  howpublished = {Pome},
  url = {https://mingchenxia.github.io/Pome/tag/9ADE309D4F8B/}
}

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Remark 5.16.39ADE309D4F8B

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Remark 5.16.3`9ADE309D4F8B`