ScalingStacks

Conjecture 7.9 . [0300]

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Conjecture 7.9.

Let 𝒳→D\mathcal{X}\rightarrow D be a polarized toric degeneration, with intersection complex (Bˇ,𝒫ˇ)(\check{B},\check{\mathscr{P}}). Let ωt\omega_{t} be a Kähler form on 𝒳t\mathcal{X}_{t} representing the first Chern class of the polarization. Then there is an open set Uˇ⊆Bˇ\check{U}\subseteq\check{B} such that Bˇ∖Uˇ\check{B}\setminus\check{U} retracts onto the discriminant locus Γ\Gamma of Bˇ\check{B}, such that 𝒳t\mathcal{X}_{t} is a symplectic compactification of Xˇ​(Uˇ)\check{X}(\check{U}) for any tt.

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