Dynamical compactifications of C²
classification
🧮 math.DS
math.AGmath.CV
keywords
degreecompactificationsdynamicalmapstopologicalarbitrarybehavedfind
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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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