Lemma 5.56 . [02UW]

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Lemma 5.56.

If we view $t$ as a rational function on $\mathcal{X}$ , then there is an integer $a$ such that

\operatorname{div}(t)=D_{0}-D_{\infty}+\sum_{i=0}^{k}(a-i)\left(E_{i}+\sum_{j\in\Theta_{i}}F_{i,j}\right).