English

Proper holomorphic self-maps of symmetric powers of balls

Complex Variables 2017-06-27 v1

Abstract

We show that each proper holomorphic self map of a symmetric power of the unit ball is an automorphism naturally induced by an automorphism of the unit ball, provided the ball is of dimension at least two.

Keywords

Cite

@article{arxiv.1706.08195,
  title  = {Proper holomorphic self-maps of symmetric powers of balls},
  author = {Debraj Chakrabarti and Christopher Grow},
  journal= {arXiv preprint arXiv:1706.08195},
  year   = {2017}
}