Lemma 6.4 . [01GD]

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Lemma 6.4.

We have

\left.\rho^{*}\left(\varphi(v)\,\mathcal{X}_{0}+\sum_{j\in L}D_{v}\varphi(e_{j})\,b_{j}E_{j}\right)\right|_{E^{\prime}_{J}}=(\mu_{*}G)|_{E^{\prime}_{J}}

in $\Pic(E^{\prime}_{J})_{\mathbf{Q}}$ .