Scholarlink

The present article aims to review some results related to the Levi problem for holomorphic ball bundles over compact complex manifolds. In particular, we introduce a relation between symmetric differentials on compact complex hyperbolic space forms and the weighted \(L^2\) holomorphic functions on certain ball bundles. This connection provides a method to understand the weighted Bergman spaces of these bundles without using any ergodicity arguments.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A Survey on Weighted Bergman Spaces of Holomorphic Ball Bundles

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Seungjae Lee

摘要

The present article aims to review some results related to the Levi problem for holomorphic ball bundles over compact complex manifolds. In particular, we introduce a relation between symmetric differentials on compact complex hyperbolic space forms and the weighted \(L^2\) holomorphic functions on certain ball bundles. This connection provides a method to understand the weighted Bergman spaces of these bundles without using any ergodicity arguments.