English

Codimension one attracting sets in $\mathbb{P}^k(\mathbb{C})$

Dynamical Systems 2016-08-03 v1 Complex Variables

Abstract

We are interested in attracting sets of Pk(C)\mathbb{P}^k(\mathbb{C}) which are of small topological degree and of codimension 1.1. We first show that there exists a large family of examples. Then we study their ergodic and pluripotential theoretic properties.

Keywords

Cite

@article{arxiv.1501.04421,
  title  = {Codimension one attracting sets in $\mathbb{P}^k(\mathbb{C})$},
  author = {Sandrine Daurat and Johan Taflin},
  journal= {arXiv preprint arXiv:1501.04421},
  year   = {2016}
}
R2 v1 2026-06-22T08:05:25.465Z