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math.CV2020
On the classification of normal Stein spaces and finite ball quotients with Bergman-Einstein metrics
Peter Ebenfelt, Ming Xiao, Hang Xu
In this paper, we study the Bergman metric of a finite ball quotient , where is a finite, fixed point free, abelian group. W…
math.CV2020★ 2 cited
Algebraicity of the Bergman Kernel
Peter Ebenfelt, Ming Xiao, Hang Xu
Our main result introduces a new way to characterize two-dimensional finite ball quotients by algebraicity of their Bergman kernels. This characterization is particular to dimensio…
math.CV2018
Quantitative upper bounds for Bergman kernels associated to smooth Kähler potentials
Hamid Hezari, Hang Xu
We give upper bounds for the Bergman kernels associated to tensor powers of a smooth positive line bundle in terms of the rate of growth of the Taylor coefficients of the Kähler po…