3 papers
math.DG2019
The Lelong number, the Monge-Ampère mass and the Schwarz symmetrization of plurisubharmonic functions
Long Li
The aim of this paper is to study the Lelong number, the integrability index and the Monge-Ampère mass at the origin of an -invariant plurisubharmonic function on a balanced d…
math.DG2017
Strict convexity of the Mabuchi functional for energy minimizers
Long Li
There are two parts of this paper. First, we discovered an explicit formula for the complex Hessian of the weighted log-Bergman kernel on a parallelogram domain, and utilised this…
math.DG2017
Regularization of plurisubharmonic functions with a net of good points
Long Li
The purpose of this article is to present a new regularization technique of quasi-plurisubharmoinc functions on a compact Kaehler manifold. The idea is to regularize the function o…