Theorem 19.2.10`2534E787147E`

Theorem 19.2.10.2534E787147E The Okounkov body map $\Delta \colon \mathcal{S}'(C) \rightarrow \mathcal{K}_ n$ as defined in definition 19.2.4 admits a unique continuous extension

64FC27991307 19.2.11

\begin{equation} \Delta \colon \overline{\mathcal{S}'(C)}_{>0}\rightarrow \mathcal{K}_ n. \end{equation}

Moreover, for any $S\in \overline{\mathcal{S}'(C)}_{>0}$, we have

882FE1F63B29 19.2.12

\begin{equation} \operatorname{vol}S=\operatorname{vol}\Delta (S). \end{equation}

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@misc{pome-tag-2534E787147E,
  author = {{Pome contributors}},
  title = {Theorem 19.2.10},
  howpublished = {Pome},
  url = {https://mingchenxia.github.io/Pome/tag/2534E787147E/}
}

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Theorem 19.2.102534E787147E

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Theorem 19.2.10`2534E787147E`