English

K\"ahler-Einstein metrics: Old and New

Differential Geometry 2018-02-20 v2 Algebraic Geometry Complex Variables

Abstract

We present classical and recent results on K\"ahler-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 "K\"ahler-Einstein metrics" given by C.S. in Cortona (Italy), May 2017. The material is not intended to be original.

Keywords

Cite

@article{arxiv.1710.05380,
  title  = {K\"ahler-Einstein metrics: Old and New},
  author = {Daniele Angella and Cristiano Spotti},
  journal= {arXiv preprint arXiv:1710.05380},
  year   = {2018}
}
R2 v1 2026-06-22T22:14:07.911Z