Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature

• Alan Michael Nadel

  School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540

抄録

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.

収録刊行物

• Proceedings of the National Academy of Sciences

  Proceedings of the National Academy of Sciences 86 (19), 7299-7300, 1989-10

  Proceedings of the National Academy of Sciences

キーワード

• Multidisciplinary

詳細情報

• CRID: 1360855569830326144
• NII論文ID: 30016285700
• DOI: 10.1073/pnas.86.19.7299
• ISSN: 10916490
• ISSN: 00278424
• Web Site: https://pnas.org/doi/pdf/10.1073/pnas.86.19.7299
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