English

On the commuting polynomial endomorphisms of {C}^2

Complex Variables 2007-05-23 v2 Dynamical Systems

Abstract

We determine all couples of commuting polynomial endomorphisms of C^2 that extends to holomorphic endomorphisms of P^2 and that have disjoint sequences of iterates.

Cite

@article{arxiv.math/9912024,
  title  = {On the commuting polynomial endomorphisms of {C}^2},
  author = {Tien-Cuong Dinh},
  journal= {arXiv preprint arXiv:math/9912024},
  year   = {2007}
}

Comments

28 pages

R2 v1 2026-07-22T18:05:35.663Z