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A scalar curvature bound along the conical Kähler-Ricci flow

2015/05/08 by Edwards, Gregory
#32J27 #32Q15 #32Q20 #53C44 #58J35 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1505.02083

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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