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Subjects
32-XX Several complex variables and analytic spaces
32Uxx Pluripotential theory
32U05 Plurisubharmonic functions and generalizations

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Kähler-Einstein metrics with mixed Poincaré and cone singularities along a normal crossing divisor

Henri Guenancia (2014)

Annales de l’institut Fourier

Let $X$ be a compact Kähler manifold and $Δ$ be a $ℝ$ -divisor with simple normal crossing support and coefficients between $1 / 2$ and $1$ . Assuming that $K_{X} + Δ$ is ample, we prove the existence and uniqueness of a negatively curved Kahler-Einstein metric on $X ∖ Supp (Δ)$ having mixed Poincaré and cone singularities according to the coefficients of $Δ$ . As an application we prove a vanishing theorem for certain holomorphic tensor fields attached to the pair $(X, Δ)$ .

Kählerian extensions of the symplectic reduction.

P. Heinzner, F. Loose, A. Huckleberry (1994)

Journal für die reine und angewandte Mathematik

Currently displaying 1 – 2 of 2

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