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.
K"ahler-Einstein metrics: Old and New / Daniele, Angella; Cristiano, Spotti. - In: COMPLEX MANIFOLDS. - ISSN 2300-7443. - ELETTRONICO. - 4:(2017), pp. 200-244. [10.1515/coma-2017-0014]
K"ahler-Einstein metrics: Old and New
Daniele Angella
;SPOTTI, CRISTIANO
2017
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.
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