Add to ORKGWe consider Fano manifolds M that admit a collection of finite automorphism groups G_1, ..., G_k, such that the quotients M/G_i are smooth Fano manifolds possessing a Kaehler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that M admits a Kaehler-Einstein metric too
The global holomorphic invariant αG(X) introduced by Tian [?], Tian and Yau [?] is closely related t...
Let be a Fano manifold which admits a Kahler-Einstein metric (or a Kahler-Ricci soliton ). Then we p...
The wonderful compactification $X_m$ of a symmetric homogeneous space of type AIII$(2,m)$ for each $...
We consider Fano manifolds M that admit a collection of finite automorphism groups G1, ...,Gk, such ...
We prove that if a Fano manifold M is K-stable, then it admits a Kahler-Einstein metric. It affirms ...
In this Thesis I investigate how Fano manifolds equipped with a Kahler- Einstein metric can degenera...
This is an expository paper on Kahler metrics of positive scalar curvature. It is for my Takagi Lect...
It is shown that any, possibly singular, Fano variety X admitting a Kahler-Einstein metric is K-poly...
In this paper, we first prove a generalized Matsushima’s theorem, i.e. the automorphism group is re...
In this paper, we generalize the concept of Kahler-Einstein metrics for Fano manifolds with nonvanis...
We announce a proof of the fact that a K-stable Fano manifold admits a Kähler–Einstein metric and g...
We announce a proof of the fact that a K-stable Fano manifold admits a Kähler–Einstein metric and g...
In [3], Tian introduced two concepts of “stability ” for Fano mani-folds, i.e., K-stability and CM-s...
We show that certain Galois covers of K-semistable Fano varieties are K-stable. We use this to give ...
For certain compact complex Fano manifolds $M$ with reductive Lie algebras of holomorphic vector fie...
The global holomorphic invariant αG(X) introduced by Tian [?], Tian and Yau [?] is closely related t...
Let be a Fano manifold which admits a Kahler-Einstein metric (or a Kahler-Ricci soliton ). Then we p...
The wonderful compactification $X_m$ of a symmetric homogeneous space of type AIII$(2,m)$ for each $...
We consider Fano manifolds M that admit a collection of finite automorphism groups G1, ...,Gk, such ...
We prove that if a Fano manifold M is K-stable, then it admits a Kahler-Einstein metric. It affirms ...
In this Thesis I investigate how Fano manifolds equipped with a Kahler- Einstein metric can degenera...
This is an expository paper on Kahler metrics of positive scalar curvature. It is for my Takagi Lect...
It is shown that any, possibly singular, Fano variety X admitting a Kahler-Einstein metric is K-poly...
In this paper, we first prove a generalized Matsushima’s theorem, i.e. the automorphism group is re...
In this paper, we generalize the concept of Kahler-Einstein metrics for Fano manifolds with nonvanis...
We announce a proof of the fact that a K-stable Fano manifold admits a Kähler–Einstein metric and g...
We announce a proof of the fact that a K-stable Fano manifold admits a Kähler–Einstein metric and g...
In [3], Tian introduced two concepts of “stability ” for Fano mani-folds, i.e., K-stability and CM-s...
We show that certain Galois covers of K-semistable Fano varieties are K-stable. We use this to give ...
For certain compact complex Fano manifolds $M$ with reductive Lie algebras of holomorphic vector fie...
The global holomorphic invariant αG(X) introduced by Tian [?], Tian and Yau [?] is closely related t...
Let be a Fano manifold which admits a Kahler-Einstein metric (or a Kahler-Ricci soliton ). Then we p...
The wonderful compactification $X_m$ of a symmetric homogeneous space of type AIII$(2,m)$ for each $...