Kahler-Einstein metrics and stability

Abstract

We annnounce a proof of the fact that a K-stable Fano manifold admits a Kahler-Einstein metric and give a brief outline of the proof.

References in corpus (4)

• A Brunn-Minkowski type inequality for Fano manifolds and the Bando-Mabuchi uniqueness theorem
• Conical Kahler-Einstein metric revisited
• Ricci flat Kahler metrics with edge singularities
• Volume estimates for Kähler-Einstein metrics and rigidity of complex structures

Cited by in corpus (3)

• Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 π
• Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities
• Degeneration of Kahler-Ricci solitons on Fano manifolds