Subsection [04X3]
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(2.2) Kontsevich and Soibelman postulated that should be the base of the non-archimedean SYZ fibration, but the definition of does not provide us with a map . To construct such a map, we will use an alternative description of the essential skeleton that appeared in [NX16a]. Let be a minimal dlt-model of , and denote by the open subscheme of consisting of the points where is regular and has strict normal crossings. Then the dual intersection complex of can be canonically embedded into (see [MN15, §3]). It follows from [NX16a, 3.3.3] that the image of this embedding is exactly the essential skeleton . To be precise, it is assumed in the statement of [NX16a, 3.3.3] that is -factorial and defined over an algebraic curve, but these assumptions are not used in the proof. If the minimal dlt-model is good, we will now construct a continuous retraction by generalizing the construction for snc-models in [MN15, 3.1.5].