131 citations · 528 across the 28 of their papers we have counts for
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math.DG2015★ 50 cited
Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry, II
Simon Donaldson, Song Sun
In this paper we continue to study Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry. Our main focus is on the algebro-geometric meaning of Riemannian tangent cone…
math.DG2015
Algebraic families of constant scalar curvature Kähler metrics
Simon Donaldson
We give a new proof of the fact that the condition of a Fano manifold admitting a Kähler-Einstein metric is Zariski-open (provided that the automorphism group is discrete). This pr…
math.DG2015
The Ding functional, Berndtsson convexity and moment maps
Simon Donaldson
We explain how the formal aspects of the theory of Kahler-Einstein metrics can be developed in the framework of moment maps. The central result we use is the Berndtsson convexity t…