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Multiplier Ideal Sheaves and Existence of Kähler-Einstein Metrics of Positive Scalar Curvature

Alan Michael Nadel
Proceedings of the National Academy of Sciences of the United States of America
Vol. 86, No. 19 (Oct. 1, 1989), pp. 7299-7300
Stable URL: http://www.jstor.org/stable/34630
Page Count: 2
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Abstract

To study C0 a priori estimates for solutions to certain complex Monge-Ampere 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 Kahler-Einstein metrics of positive scalar curvature on a very large class of compact complex manifolds.

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