Lemma A.6 . [018P]

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Lemma A.6.

We have canonical homeomorphisms

\pi^{-1}(0)\simeq X_{{\mathbb{C}}(\!({t})\!)}^{\mathrm{an}}{\quad\text{and}\quad}\pi^{-1}({\mathbb{D}}^{*}_{r})\simeq X^{\operatorname{hol}}

(A.2)

compatible with the projection to ${\mathbb{D}}_{r}$ .