On chain recurrence classes of endomorphisms of $\mathbb P^k$

Johan Taflin

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arXiv · 2105.05524

On chain recurrence classes of endomorphisms of $\mathbb P^k$

Johan Taflin

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Abstract

We prove that the minimal chain recurrence classes of a holomorphic endomorphism of $\mathbb P^k$ have finitely many connected components. We also obtain results on arbitrary classes. These strong constraints on the topological dynamics in the phase space are all deduced from the associated action on a space of currents.

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Johan Taflin. 2021-05-12. On chain recurrence classes of endomorphisms of $\mathbb P^k$. https://arxiv.org/abs/2105.05524

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