ScalingStacks

Claim 4.2.1 . [027X]

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Claim 4.2.1.

For any ϵ′>0{\epsilon^{\prime}}>0, there are a positive integer NN and sN∈H0​(X,L⊗N)s_{N}\in H^{0}(X,L^{\otimes N}) such that

sN|Y=l⊗Nand‖sN‖hN≤eN​ϵ′​(‖l‖Y,h)N.\left.{s_{N}}\right|_{{Y}}=l^{\otimes N}\quad\text{and}\quad\|s_{N}\|_{h^{N}}\leq e^{N{\epsilon^{\prime}}}(\|l\|_{Y,h})^{N}.

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