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

Johan Taflin (IMB); Sandrine Daurat (LAMA)

arxiv: 1501.04421 · v1 · pith:M636FNNSnew · submitted 2015-01-19 · 🧮 math.DS · math.CV

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

Sandrine Daurat (LAMA) , Johan Taflin (IMB) This is my paper

classification 🧮 math.DS math.CV

keywords mathbbattractingcodimensionsetsdegreeergodicexamplesexists

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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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