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Ben McKay
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A precise statement and proof of the relationship between stability and the existence of Calabi-Yau metrics is in:

  1. arXiv:1302.0282 Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2π and completion of the main proof Xiuxiong Chen, Simon Donaldson, Song Sun

    arXiv:1302.0282, Xiuxiong Chen, Simon Donaldson, Song Sun, Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2π and completion of the main proof

    Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)
  2. arXiv:1212.4714 Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 π Xiuxiong Chen, Simon Donaldson, Song Sun

    arXiv:1212.4714, Xiuxiong Chen, Simon Donaldson, Song Sun, Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 π

    Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)
  3. arXiv:1211.4566 Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities Xiu-Xiong Chen, Simon Donaldson, Song Sun

    arXiv:1211.4566, Xiu-Xiong Chen, Simon Donaldson, Song Sun, Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities

    Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)
  4. arXiv:1210.7494 Kahler-Einstein metrics and stability

    arXiv:1210.7494, Xiu-Xiong Chen, Simon Donaldson, Song Sun Kahler-Einstein metrics and stability

    Xiu-Xiong Chen, Simon Donaldson, Song Sun
  5. arXiv:1211.4669, Gang Tian, K-stability and Kähler-Einstein metrics

    Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)

(so I understand; I haven't read all of this)

A precise statement and proof of the relationship between stability and the existence of Calabi-Yau metrics is in:

  1. arXiv:1302.0282 Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2π and completion of the main proof Xiuxiong Chen, Simon Donaldson, Song Sun Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)
  2. arXiv:1212.4714 Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 π Xiuxiong Chen, Simon Donaldson, Song Sun Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)
  3. arXiv:1211.4566 Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities Xiu-Xiong Chen, Simon Donaldson, Song Sun Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)
  4. arXiv:1210.7494 Kahler-Einstein metrics and stability Xiu-Xiong Chen, Simon Donaldson, Song Sun Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)

(so I understand; I haven't read all of this)

A precise statement and proof of the relationship between stability and the existence of Calabi-Yau metrics is in:

  1. arXiv:1302.0282, Xiuxiong Chen, Simon Donaldson, Song Sun, Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2π and completion of the main proof

  2. arXiv:1212.4714, Xiuxiong Chen, Simon Donaldson, Song Sun, Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 π

  3. arXiv:1211.4566, Xiu-Xiong Chen, Simon Donaldson, Song Sun, Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities

  4. arXiv:1210.7494, Xiu-Xiong Chen, Simon Donaldson, Song Sun Kahler-Einstein metrics and stability

  5. arXiv:1211.4669, Gang Tian, K-stability and Kähler-Einstein metrics

(so I understand; I haven't read all of this)

Source Link
Ben McKay
  • 26.3k
  • 7
  • 67
  • 102

A precise statement and proof of the relationship between stability and the existence of Calabi-Yau metrics is in:

  1. arXiv:1302.0282 Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2π and completion of the main proof Xiuxiong Chen, Simon Donaldson, Song Sun Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)
  2. arXiv:1212.4714 Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 π Xiuxiong Chen, Simon Donaldson, Song Sun Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)
  3. arXiv:1211.4566 Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities Xiu-Xiong Chen, Simon Donaldson, Song Sun Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)
  4. arXiv:1210.7494 Kahler-Einstein metrics and stability Xiu-Xiong Chen, Simon Donaldson, Song Sun Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)

(so I understand; I haven't read all of this)