71 citations · 539 across the 32 of their papers we have counts for
6 papers · 1 filter
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.
Compact Moduli Spaces of Del Pezzo Surfaces and Kähler-Einstein metrics
Yuji Odaka, Cristiano Spotti, Song Sun
We prove that the Gromov-Hausdorff compactification of the moduli space of Kahler-Einstein Del Pezzo surfaces in each degree agrees with certain algebro-geometric compactification.…
The generalized Frankel conjecture in Sasaki geometry
Weiyong He, Song Sun
We prove some structure results for \emph{transverse reducible} Sasaki manifolds. In particular, we show Sasaki manifolds with positive Ricci curvature is transversely irreducible,…
Frankel Conjecture and Sasaki geometry
Weiyong He, Song Sun
We classify simply connected compact Sasaki manifolds of dimension with positive transverse bisectional curvature. In particular, the Kähler cone corresponding to such manif…