ScalingStacks

Corollary 5.8 . [00SW]

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Corollary 5.8.

On Us,K⊂XsU_{s,K}\subset X_{s} the sectional curvature has a uniform bound |Riem​(gC​Y,s)|≤C|\text{Riem}(g_{CY,s})|\leq C, and the injectivity radius satisfies C−1​s−1≤inj≤C​s−1C^{-1}s^{-1}\leq\text{inj}\leq Cs^{-1}, with constants depending on K⊂ℛK\subset\mathcal{R}.

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