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

Sandrine Daurat, Johan Taflin

Published 2015-01-19Version 1

We are interested in attracting sets of $\mathbb{P}^k(\mathbb{C})$ which are of small topological degree and of codimension $1.$ We first show that there exists a large family of examples. Then we study their ergodic and pluripotential theoretic properties.