{ "id": "1710.05380", "version": "v1", "published": "2017-10-15T18:58:31.000Z", "updated": "2017-10-15T18:58:31.000Z", "title": "Kähler-Einstein metrics: Old and New", "authors": [ "Daniele Angella", "Cristiano Spotti" ], "categories": [ "math.DG", "math.AG", "math.CV" ], "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.", "revisions": [ { "version": "v1", "updated": "2017-10-15T18:58:31.000Z" } ], "analyses": { "keywords": [ "kähler-einstein metrics", "compact complex manifolds", "algebraic geometric notions", "smi course", "obstructions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }