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Kähler-Einstein metrics with cone singularities on klt pairs (1212.1383v1)
Published 6 Dec 2012 in math.CV and math.DG
Abstract: Let (X,D) be a klt pair. Assuming either K_X+D big or -(K_X+D) ample, and that the coefficients of D are greater than 1/2, we show that the K\"ahler-Einstein metric attached to (X,D) -whenever it exists- has cone singularities along D on the log-smooth locus of the pair intersected with the ample locus of K_X+D (in the negatively curved case).
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