Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof

Author:

Chen Xiuxiong,Donaldson Simon,Sun Song

Abstract

This is the third and final article in a series which prove the fact that a K-stable Fano manifold admits a Kähler-Einstein metric. In this paper we consider the Gromov-Hausdorff limits of metrics with cone singularities in the case when the limiting cone angle approaches 2 π \pi . We also put all our technical results together to complete the proof of the main theorem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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