Add to ORKGWe give a criterion for the coercivity of the Mabuchi functional for general Kàhler classes on Fano manifolds in terms of Tian's alpha invariant. This generalises a result of Tian in the anti-canonical case implying the existence of a Kàhler-Einstein metric. We also prove the alpha invariant is a continuous function on the Kàhler cone. As an application, we provide new Kàhler classes on a general degree one del Pezzo surface for which the Mabuchi functional is coercive
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
We give a criterion for the coercivity of the Mabuchi functional for general Kähler classes on Fano ...
We give a criterion for the coercivity of the Mabuchi functional for general Kähler classes on Fano ...
We give a criterion for the coercivity of the Mabuchi functional for general Kähler classes on Fano ...
The global log canonical threshold, algebraic counterpart to Tian's alpha-invariant, plays an impor...
The global log canonical threshold (or Tian's alpha-invariant) plays an important role in the geomet...
The global holomorphic invariant αG(X) introduced by Tian [?], Tian and Yau [?] is closely related t...
Abstract. The global holomorphic α-invariant plays an important role in the study of the existence o...
We provide a sufficient condition for polarisations of Fano varieties to be K-stable in terms of Tia...
We characterize the global maximizers of a certain non-local functional defined on the space of all ...
We characterize the global maximizers of a certain non-local functional defined on the space of all ...
In this paper, we show that the alpha(m,2)-invariant (introduced by Tian (1991) [27] and (1997) [29]...
It is shown that any, possibly singular, Fano variety X admitting a Kahler-Einstein metric is K-poly...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
We give a criterion for the coercivity of the Mabuchi functional for general Kähler classes on Fano ...
We give a criterion for the coercivity of the Mabuchi functional for general Kähler classes on Fano ...
We give a criterion for the coercivity of the Mabuchi functional for general Kähler classes on Fano ...
The global log canonical threshold, algebraic counterpart to Tian's alpha-invariant, plays an impor...
The global log canonical threshold (or Tian's alpha-invariant) plays an important role in the geomet...
The global holomorphic invariant αG(X) introduced by Tian [?], Tian and Yau [?] is closely related t...
Abstract. The global holomorphic α-invariant plays an important role in the study of the existence o...
We provide a sufficient condition for polarisations of Fano varieties to be K-stable in terms of Tia...
We characterize the global maximizers of a certain non-local functional defined on the space of all ...
We characterize the global maximizers of a certain non-local functional defined on the space of all ...
In this paper, we show that the alpha(m,2)-invariant (introduced by Tian (1991) [27] and (1997) [29]...
It is shown that any, possibly singular, Fano variety X admitting a Kahler-Einstein metric is K-poly...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...