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arXiv · 0711.2770

Dynamical compactifications of C^2

Charles Favre·Mattias Jonsson
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Abstract

We find good dynamical compactifications for arbitrary polynomial mappings of C^2 and use them to show that the degree growth sequence satisfies a linear integral recursion formula. For maps of low topological degree we prove that the Green function is well behaved. For maps of maximum topological degree, we give normal forms.

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Charles Favre, Mattias Jonsson. 2009-09-02. Dynamical compactifications of C^2. https://arxiv.org/abs/0711.2770

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