Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature.
To study C(0)a priori estimates for solutions to certain complex Monge-Ampère equations, I introduce a coherent sheaf of ideals and show that it satisfies various global algebrogeometric conditions, including a cohomology vanishing theorem. This technique is used to establish the existence of Kähler-Einstein metrics of positive scalar curvature on a very large class of compact complex manifolds.
School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540.
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Nadel