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arXiv · 1302.0282

Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2\pi\ and completion of the main proof

Xiuxiong Chen·Simon Donaldson·Song Sun
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Abstract

This is the third and final paper in a series which establish results announced in arXiv:1210.7494. In this paper we consider the Gromov-Hausdorff limits of metrics with cone singularities in the case when the limiting cone angle approaches 2\pi. We also put all our technical results together to complete the proof of the main theorem that if a K-stable Fano manifold admits a Kahler-Einstein metric.

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Xiuxiong Chen, Simon Donaldson, Song Sun. 2013-02-01. Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2\pi\ and completion of the main proof. https://arxiv.org/abs/1302.0282

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