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

preprint2015arXivOpen access

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.

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

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