131 citations · 736 across the 37 of their papers we have counts for
4 papers · 2 filters
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…
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.
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.
Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry
Simon Donaldson, Song Sun
We prove a general result about the geometry of holomorphic line bundles over Kahler manifolds.