Ming Xiao

activity

20222026

collaborators

Showing 2025Show all

2 papers · 1 filter

math.CV2025

Bergman kernels over polarized Kähler manifolds, Bergman logarithmic flatness, and a question of Lu-Tian

Peter Ebenfelt, Ming Xiao, Hang Xu

Let $M$ be a complete Kähler manifold, and let $(L, h) \to M$ be a positive line bundle inducing a Kähler metric $g$ on $M$ . We study two Bergman kernels in this setting: the Bergm…

math.CV2025

Domains with Bergman metrics of constant curvature and Bergman-negligible subsets

Peter Ebenfelt, John N. Treuer, Ming Xiao

Let $D$ be a bounded domain in $C^{n}$ . Suppose the holomorphic sectional curvature of its Bergman metric equals a negative constant $τ$ . We show that $D$ is biholomorphic t…