English

Green functions and weights of polynomial skew products on C^2

Dynamical Systems 2018-03-29 v1

Abstract

We study the dynamics of polynomial skew products on C^2. By using suitable weights, we prove the existence of several types of Green functions. Largely, continuity and plurisubharmonicity follow. Moreover, it relates to the dynamics of the rational extensions to weighted projective spaces.

Keywords

Cite

@article{arxiv.1205.1121,
  title  = {Green functions and weights of polynomial skew products on C^2},
  author = {Kohei Ueno},
  journal= {arXiv preprint arXiv:1205.1121},
  year   = {2018}
}

Comments

29 pages