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most citedKahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2π and completion of the main proof

71 citations · 469 across the 29 of their papers we have counts for

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math.DG2012★ 41 cited

Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 π

Xiuxiong Chen, Simon Donaldson, Song Sun

This is the second of a series of three papers which provide proofs of results announced in arXiv:1210.7494. In this paper we consider the Gromov-Hausdorff limits of metrics with c…

math.DG2012★ 37 cited

Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities

Xiu-Xiong Chen, Simon Donaldson, Song Sun

This is the first of a series of three papers which provide proofs of results announced recently in arXiv:1210.7494.

math.DG2012★ 29 cited

Kahler-Einstein metrics and stability

Xiu-Xiong Chen, Simon Donaldson, Song Sun

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.