English

Attracting sequences of holomorphic automorphisms that agree to a certain order

Complex Variables 2017-02-28 v1

Abstract

The basin of attraction of a uniformly attracting sequence of holomorphic automorphisms that agree to a certain order in the common fixed point, is biholomorphic to Cn\mathbb{C}^n. We also give sufficient estimates how large this order has to be.

Keywords

Cite

@article{arxiv.1702.07953,
  title  = {Attracting sequences of holomorphic automorphisms that agree to a certain order},
  author = {Rafael B. Andrist and Gerrit Maus},
  journal= {arXiv preprint arXiv:1702.07953},
  year   = {2017}
}

Comments

16 pages