b-Stability and Blow-Ups

b-Stability and Blow-Ups

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....

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Veröffentlicht in:Proceedings of the Edinburgh Mathematical Society 2014-02, Vol.57 (1), p.125-137
1. Verfasser: Donaldson, S. K.
Format: Artikel
Sprache:eng
Schlagworte:
Curvature
Existence theorems
Joints
Mathematical analysis
Mathematics
Metric system
Proving
Scalars
Theorems
Transformations
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Beschreibung
Zusammenfassung: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.
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091513000825