Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature
Abstract
To study C0a 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.
- Publication:
-
Proceedings of the National Academy of Science
- Pub Date:
- October 1989
- DOI:
- 10.1073/pnas.86.19.7299
- Bibcode:
- 1989PNAS...86.7299N