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We annnounce a proof of the fact that a K-stable Fano manifold admits a Kahler-Einstein metric and give a brief outline of the proof.
Ding, W-Y and Tian, G. Kähler-Einstein metrics and the generalised Futaki invariant
1992
Earlier work this paper cites.
Tian, G. Kähler-Einstein metrics on algebraic manifolds
1996
Earlier work this paper cites.
Yau, S-T. Review of Kähler-Einstein metrics in algebraic geometry
1996
Cited alongside, same era.
Tian, G. Kähler-Einstein metrics with positive scalar curvature
1997
Cited alongside, same era.
Berman, R. A thermodynamic formalism for Monge-Ampère equations
Cited in the paper.
Berman, R. K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics
Cited in the paper.
Berman, R., Eyssideux, P., Guedj, Y., and Zeriahi, A. Kähler-Ricci flow and the Ricci iteration on log-Fano varieties
Cited in the paper.
Berndtsson, B. A Brunn-Minkowski type inequality for Fano manifolds and the Bando-Mabuchi uniqueness Theorem
Cited in the paper.
Brendle, S. Ricci-flat Kähler metrics with edge singularities
Cited in the paper.
Cited in the paper.
Donaldson, S. Stability, birational transformations and the Kähler-Einstein problem
Cited in the paper.
Donaldson, S and Sun, S. Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry
Cited in the paper.
Jeffres, T., Mazzeo, R. and Rubinstein, Y. Kähler-Einstein metrics with edge singularities
Cited in the paper.
Li, C. and Sun, S. Conical Kähler-Einstein metric revisited
Cited in the paper.
Stoppa, J. , Jacopo K-stability of constant scalar curvature Kähler manifolds
2009
Later among the works it cites.
Donaldson, S. Kähler metrics with cone singularities along a divisor
2012
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