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b-Stability and Blow-Ups
Published online by Cambridge University Press: 23 December 2013
Abstract
We study a notion of ‘b-stability’, introduced previously by the author in connection with the existence of constant scalar curvature Kähler, and Kähler-Einstein, metrics. The main result is Theorem 1.2, which makes progress towards a statement that the existence of such metrics implies b-stability. The proof is a modification of an argument of Stoppa, taking account of the birational transformations involved in the definition of b-stability.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 57 , Issue 1 , February 2014 , pp. 125 - 137
- Copyright
- Copyright © Edinburgh Mathematical Society 2014
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