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arXiv · 2111.06615

Curvature Estimates for the Continuity Method

Hosea Wondo
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Abstract

We obtain curvature estimates for long time solutions of the continuity method on compact K\"ahler manifolds with semi-ample canonical line bundles. In this setting, initiated in arXiv:1410.3157 and arXiv:0709.0990, we adapt arguments from arXiv:1903.05939 for the K\"ahler-Ricci flow to this setup. As an application, we derive curvature bounds for general metrics on product manifolds.

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Hosea Wondo. 2021-11-12. Curvature Estimates for the Continuity Method. https://doi.org/10.1142/s0219199722500420

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