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math.CV2022
Peak sections and Bergman kernels on Kähler manifolds with complex hyperbolic cusps
Shengxuan Zhou
By revisiting Tian's peak section method, we obtain a localization principle of the Bergman kernels on Kähler manifolds with complex hyperbolic cusps, which is a generalization of…
math.CV2022
On the convergence rate of Bergman metrics
Shengxuan Zhou
We study the convergence rate of Bergman metrics on the class of polarized pointed Kähler -manifolds with and $|\sec |\leq K…
math.AP2022★ 1 cited
A Regularity Theory for Static Schrödinger Equations on in Spectral Barron Spaces
Ziang Chen, Jianfeng Lu, Yulong Lu +1
Spectral Barron spaces have received considerable interest recently as it is the natural function space for approximation theory of two-layer neural networks with a dimension-free…