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

Sandrine Daurat; Johan Taflin

doi:10.1017/etds.2016.31

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arXiv · 1501.04421

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

Sandrine Daurat·Johan Taflin

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Abstract

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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Sandrine Daurat, Johan Taflin. 2015-01-19. Codimension one attracting sets in $\mathbb{P}^k(\mathbb{C})$. https://doi.org/10.1017/etds.2016.31

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