Dynamical compactifications of $\mathbf{C}^2$


We find good dynamical compactifications for arbitrary polynomial mappings of $\mathbf{C}^2$ 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.


Charles Favre

CNRS-Université Paris 7
Institut de Mathématiques
F-75251 Paris

Current address:

Centre de Mathématiques Laurent-Schwartz
École Polytechnique
91128 Palaiseau Cedex
France Mattias Jonsson

Department of Mathematics
University of Michigan
Ann Arbor, MI 48109-1043