Dynamical compactifications of C^2

Details Dynamical compactifications of C^2 Dynamical compactifications of C^2

2007-11-19

arxiv.org/abs/0711.2770v2

Mathematics

Dynamical Systems

31 pages. To appear in Ann. of Math

Scientific paper

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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