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arxiv: 1710.05380 · v2 · pith:7P5Z6ABDnew · submitted 2017-10-15 · 🧮 math.DG · math.AG· math.CV

K\"ahler-Einstein metrics: Old and New

classification 🧮 math.DG math.AGmath.CV
keywords ahler-einsteinmetricsalgebraicclassicalcompactcomplexcortonacourse
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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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