ScalingStacks

Lemma 4.10 . [023U]

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Lemma 4.10.

(Volume form error) In the region with x1≫1x_{1}\gg 1 and x2≪x1x_{2}\ll x_{1},

‖(d​dc​ϕD1)n−K0​−1n2​Ω∧Ω¯‖k,α,l​o​c=O⁡(x1−n(n−1)​e−c​x21/2).\left\lVert(dd^{c}\phi_{D_{1}})^{n}-K_{0}\sqrt{-1}^{n^{2}}\Omega\wedge\overline{\Omega}\right\rVert_{k,\alpha,loc}=O(x_{1}^{-\frac{n}{(n-1)}}e^{-cx_{2}^{1/2}}).

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