English

Holomorphic mappings between pseudoellipsoids in different dimensions

Complex Variables 2016-12-30 v1

Abstract

We give a necessary and sufficient condition for the existence of nondegenerate holomorphic mappings between pseudoellipsoidal real hypersurfaces, and provide an explicit parametrization for the collection of all such mappings (in the situations where they exist).

Keywords

Cite

@article{arxiv.1210.4434,
  title  = {Holomorphic mappings between pseudoellipsoids in different dimensions},
  author = {Peter Ebenfelt and Duong Ngoc Son},
  journal= {arXiv preprint arXiv:1210.4434},
  year   = {2016}
}
R2 v1 2026-06-21T22:22:41.856Z