A scalar curvature bound along the conical Kähler-Ricci flow

preprint2015arXivOpen access

Abstract

Starting with a model conical Kähler metric, we prove a uniform scalar curvature bound for solutions to the conical Kähler-Ricci flow assuming a semi-ampleness type condition on the twisted canonical bundle. In the proof, we also establish uniform estimates for the potentials and their time derivatives.

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