Proposition 19.4.37`300A5A5F84BB`

Proposition 19.4.37.300A5A5F84BB For any $a\in \mathbb {Z}_{>0}$,

\[ \Delta _{\nu }(a\theta ,a\varphi )=a\Delta _{\nu }(\theta ,\varphi ). \]

Proof. As in the proof of proposition 19.4.33, we may assume that $\varphi $ has log singularities. Using 19.4.23, we reduce to the case without the singularities, which is proved in proposition 19.4.14. $\square$

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@misc{pome-tag-300A5A5F84BB,
  author = {{Pome contributors}},
  title = {Proposition 19.4.37},
  howpublished = {Pome},
  url = {https://mingchenxia.github.io/Pome/tag/300A5A5F84BB/}
}

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Proposition 19.4.37300A5A5F84BB

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Proposition 19.4.37`300A5A5F84BB`