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b-Stability and Blow-Ups

Name: b-Stability and Blow-Ups
Creator: Simon Donaldson
Keywords: Mathematics - Differential Geometry, Mathematics - Algebraic Geometry, Differential Geometry (math.DG), 8. Economic growth, FOS: Mathematics, 0101 mathematics, Algebraic Geometry (math.AG), 53C55, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 23 Dec 2013Embargo end date: 01 Jan 2011Publisher:Cambridge University Press (CUP)Journal:Proceedings of the Edinburgh Mathematical Society, volume 57, pages 125-137 (issn: 0013-0915, eissn: 1464-3839,

Authors: Simon Donaldson;

doi: 10.1017/s0013091513000825 , 10.48550/arxiv.1107.1699

arXiv: http://arxiv.org/abs/1107.1699

b-Stability and Blow-Ups

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Abstract

AbstractWe 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.

Related Organizations

Imperial College London
United Kingdom

Keywords

Mathematics - Differential Geometry, Mathematics - Algebraic Geometry, Differential Geometry (math.DG), FOS: Mathematics, Algebraic Geometry (math.AG), 53C55

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	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	3
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	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average