Kähler-Einstein metrics: Old and New

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.

References in corpus (2)

• On the $C^{1,1}$ regularity of geodesics in the space of Kähler metrics
• Uniqueness of CP^n