Proposition 19.4.13`AE9EBC9C5252`

Proposition 19.4.13.AE9EBC9C5252 Let $L'$ be another big line bundle on $X$. Then

\[ \Delta _{\nu }(L)+\Delta _{\nu }(L')\subseteq \Delta _{\nu }(L\otimes L'). \]

Proof. Observe that for each $k\in \mathbb {N}$, we have

\[ \Delta _ k(L)+\Delta _ k(L')\subseteq \Delta _ k(L\otimes L'). \]

So our assertion follows immediately from theorem 19.2.5. $\square$

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BibTeX citation

@misc{pome-tag-AE9EBC9C5252,
  author = {{Pome contributors}},
  title = {Proposition 19.4.13},
  howpublished = {Pome},
  url = {https://mingchenxia.github.io/Pome/tag/AE9EBC9C5252/}
}

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Proposition 19.4.13AE9EBC9C5252

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Proposition 19.4.13`AE9EBC9C5252`