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math.CV2012★ 4 cited
Kähler-Einstein metrics with cone singularities on klt pairs
Henri Guenancia
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 Kähler-Einstein metric attached to (X,D)…
math.CV2012
Kähler-Einstein metrics with mixed Poincaré and cone singularities along a normal crossing divisor
Henri Guenancia
Let X be a Kähler manifold and D be a R-divisor with simple normal crossing support and coefficients between 1/2 and 1. Assuming that K_X+D is ample, we prove the existence and uni…