# Kähler-Einstein metrics: Old and New

@article{Angella2017KhlerEinsteinMO,
title={K{\"a}hler-Einstein metrics: Old and New},
author={Daniele Angella and Cristiano Spotti},
journal={Complex Manifolds},
year={2017},
volume={4},
pages={200 - 244}
}
• Published 15 October 2017
• Mathematics
• Complex Manifolds
Abstract We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability). These are the notes for the SMI course "Kähler-Einstein metrics" given by C.S. in Cortona (Italy), May 2017. The material is not intended to be original.
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