ScalingStacks

Subsection [04Y8]

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(6.2) Note that the proof of Proposition 5.4 gives an explicit description of the set ZZ and the integral affine structure on Sk⁡(X)∖Z\mathrm{Sk}(X)\setminus Z induced by the non-archimedean SYZ fibration: after our finite sequence of blow-ups at zero-dimensional strata, the gluing data along codimension one faces of the skeleton are determined by the intersection numbers (C⋅E)(C\cdot E). This is quite similar to the constructions for log Calabi-Yau surfaces in [GHK15, Yu16a] and for toric degenerations in the Gross-Siebert program [GS11b].

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