Dynamical compactifications of C^2
Dynamical Systems
2009-09-02 v2 Algebraic Geometry
Complex Variables
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.
Keywords
Cite
@article{arxiv.0711.2770,
title = {Dynamical compactifications of C^2},
author = {Charles Favre and Mattias Jonsson},
journal= {arXiv preprint arXiv:0711.2770},
year = {2009}
}
Comments
31 pages. To appear in Ann. of Math