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On the Hölder estimate of Kähler-Ricci flow
Published 4 May 2021 in math.DG | (2105.01602v1)
Abstract: In this work, we study the H\"older regularity of the K\"ahler- Ricci flow on compact K\"ahler manifolds with semi-ample canonical line bundle. By adapting the method in the work of Hein-Tosatti on collapsing Calabi-Yau metrics, we obtain a uniform spatial H\"older estimate of the K\"ahler-Ricci flow for all time.
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