2 papers
math.CV2025
Bergman kernels over polarized Kähler manifolds, Bergman logarithmic flatness, and a question of Lu-Tian
Peter Ebenfelt, Ming Xiao, Hang Xu
Let be a complete Kähler manifold, and let be a positive line bundle inducing a Kähler metric on . We study two Bergman kernels in this setting: the Bergm…
math.CV2022
On the analytic and geometric aspects of obstruction flatness
Peter Ebenfelt, Ming Xiao, Hang Xu
In this paper, we investigate analytic and geometric properties of obstruction flatness of strongly pseudoconvex CR hypersurfaces of dimension . Our first two results concern…