English

Rigidity of proper holomorphic maps among generalized balls with Levi-degenerate boundaries

Complex Variables 2021-04-14 v1

Abstract

In this paper we studied a broader type of generalized balls which are domains on the complex projective with possibly Levi-degenerate boundaries. We proved rigidity theorems for proper holomorphic mappings among them by exploring the structure of the moduli spaces of projective linear subspaces, which generalized some earlier results for the ordinary generalized balls with Levi-nondegenerate boundaries.

Keywords

Cite

@article{arxiv.2104.06318,
  title  = {Rigidity of proper holomorphic maps among generalized balls with Levi-degenerate boundaries},
  author = {Sui-Chung Ng and Yuehuan Zhu},
  journal= {arXiv preprint arXiv:2104.06318},
  year   = {2021}
}