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arXiv · 1710.05590

A distortion theorem for the iterated inverse branches of a holomorphic endomorphism of CP(k)

Francois Berteloot·Christophe Dupont
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Abstract

We linearize the inverse branches of the iterates of holomorphic endomorphisms of CP(k) and thus overcome the lack of Koebe distortion theorem in this setting when k $\ge$ 2. We review several applications of this result in holomorphic dynamics.

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Francois Berteloot, Christophe Dupont. 2017-10-16. A distortion theorem for the iterated inverse branches of a holomorphic endomorphism of CP(k). https://arxiv.org/abs/1710.05590

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