11 citations · 12 across the 4 of their papers we have counts for
4 papers · 1 filter
Canonical measures and Kahler-Ricci flow
Jian Song, Gang Tian
We show that the Kahler-Ricci flow on an algebraic manifold of positive Kodaira dimension and semi-ample canonical line bundle converges to a unique canonical metric on its canonic…
The SzegÖ kernel on an orbifold circle bundle
Jian Song
The analysis of holomorphic sections of high powers of holomorphic ample line bundles over compact Kähler manifolds has been widely applied in complex geometry and m…
The α-Invariant on Toric Fano Manifolds
Jian Song
The global holomorphic α-invariant introduced by Tian is closely related with the study in the existence of Kahler-Einstein metric. We apply the result of Tian, Lu and Zelditch on…
The -Invariant on $CP^2#2\bar{CP^2}$
Jian Song
In this paper, we apply the Tian-Yau-Zelditch expansion of the Bergman kernel on polarized Kähler metrics to approximate plurisubharmonic functions and compute the -invariant of…