We present classical and recent results on Kähler-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 "Kähler-Einstein metrics" given by C.S. in Cortona (Italy), May 2017. The material is not intended to be original
Using the new dieomorphism invariants of Seiberg and Witten, a uniqueness theorem is proved for Eins...
International audienceLet Y be a compact Kähler normal space and α ∈ H1,1BC (Y) a Kähler class. We s...
We develop a general approach to prove K-stability of Fano varieties. The new theory is used to (a) ...
We prove that if a Fano manifold M is K-stable, then it admits a Kahler-Einstein metric. It affirms ...
This is an expository paper on Kahler metrics of positive scalar curvature. It is for my Takagi Lect...
We propose new types of canonical metrics on K\ue4hler manifolds, called coupled K\ue4hler–Einstein ...
Abstract. This paper grew out of my lectures at Nankai Institute as well as a few other conferences ...
This volume is an outcome of the workshop "Moduli of K-stable Varieties", which was held in Rome, It...
Certain curvature conditions for variational stability of Einstein metrics are given. The argument o...
In this thesis, the notion of Kähler-Einstein metric is central. After the pioneering works of Aubin...
Using spinc structure we prove that Kähler-Einstein metrics with nonpositive scalar curva-ture are ...
We study the existence of extremal Kähler metrics on Kähler manifolds. After introducing a notion of...
This paper is concerned with the construction of special metrics on non-compact 4-manifolds which ar...
Abstract. This paper is concerned with the construction of special metrics on non-compact 4-manifold...
In the first part of my talk, we consider special metrics on holomor-phic bundles. We will recall th...
Using the new dieomorphism invariants of Seiberg and Witten, a uniqueness theorem is proved for Eins...
International audienceLet Y be a compact Kähler normal space and α ∈ H1,1BC (Y) a Kähler class. We s...
We develop a general approach to prove K-stability of Fano varieties. The new theory is used to (a) ...
We prove that if a Fano manifold M is K-stable, then it admits a Kahler-Einstein metric. It affirms ...
This is an expository paper on Kahler metrics of positive scalar curvature. It is for my Takagi Lect...
We propose new types of canonical metrics on K\ue4hler manifolds, called coupled K\ue4hler–Einstein ...
Abstract. This paper grew out of my lectures at Nankai Institute as well as a few other conferences ...
This volume is an outcome of the workshop "Moduli of K-stable Varieties", which was held in Rome, It...
Certain curvature conditions for variational stability of Einstein metrics are given. The argument o...
In this thesis, the notion of Kähler-Einstein metric is central. After the pioneering works of Aubin...
Using spinc structure we prove that Kähler-Einstein metrics with nonpositive scalar curva-ture are ...
We study the existence of extremal Kähler metrics on Kähler manifolds. After introducing a notion of...
This paper is concerned with the construction of special metrics on non-compact 4-manifolds which ar...
Abstract. This paper is concerned with the construction of special metrics on non-compact 4-manifold...
In the first part of my talk, we consider special metrics on holomor-phic bundles. We will recall th...
Using the new dieomorphism invariants of Seiberg and Witten, a uniqueness theorem is proved for Eins...
International audienceLet Y be a compact Kähler normal space and α ∈ H1,1BC (Y) a Kähler class. We s...
We develop a general approach to prove K-stability of Fano varieties. The new theory is used to (a) ...
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