Kahler-Einstein metrics and stability
arXiv:1210.7494
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.
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Cited by in corpus (19)
- Complex optimal transport and the pluripotential theory of Kähler-Ricci solitons
- K-polystability of Q-Fano varieties admitting Kahler-Einstein metrics
- 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
- On the moduli of Kahler-Einstein Fano manifolds
- Geodesics in the space of Kähler cone metrics
- Extremal Kähler metrics
- Stable Pairs and Coercive Estimates for The Mabuchi Functional
- Connecting toric manifolds by conical Kahler-Einstein metrics
- Degeneration of Kahler-Ricci solitons on Fano manifolds
- Holography, Matrix Factorizations and K-stability
- Log canonical thresholds of Del Pezzo Surfaces in characteristic p
- Birational superrigidity and slope stability of Fano manifolds
- Note on Poincaré type Kähler metrics and Futaki characters
- On convexity of the regular set of conical Kahler-Einstein metrics
- Edges, Orbifolds, and Seiberg-Witten Theory
- Calabi problem for manifolds with edge-cone singularities
- Toric partial density functions and stability of toric varieties
- An extremal eigenvalue problem in Kähler geometry