Proposition 20.1.46`2E8615B14EC8`

Proposition 20.1.46.2E8615B14EC8 Let $\mathbb {D}_1,\ldots ,\mathbb {D}_ n$ be nef b-divisors over $X$. Then

\[ \left(\mathbb {D}_1,\ldots ,\mathbb {D}_ n \right)\geq \prod _{i=1}^ n \left( \operatorname{vol}\mathbb {D}_ i\right)^{1/n}. \]

Proof. We may assume that $\operatorname{vol}\mathbb {D}_ i>0$ for each $i=1,\ldots ,n$ since there is nothing to prove otherwise. In this case, our assertion follows from proposition 18.1.36. $\square$

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BibTeX citation

@misc{pome-tag-2E8615B14EC8,
  author = {{Pome contributors}},
  title = {Proposition 20.1.46},
  howpublished = {Pome},
  url = {https://mingchenxia.github.io/Pome/tag/2E8615B14EC8/}
}

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Proposition 20.1.462E8615B14EC8

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Proposition 20.1.46`2E8615B14EC8`