Geodesic
Dynamical compactifications of $\mathbf{C}^2$
Charles Favre1 ; Mattias Jonsson2
1 CNRS-Université Paris 7<br/>Institut de Mathématiques<br/> F-75251 Paris<br/>France
2 Department of Mathematics<br/>University of Michigan<br/>Ann Arbor, MI 48109-1043
Annals of mathematics, Tome 173 (2011) no. 1, pp. 211-249.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2011.173.1.6

Charles Favre 1 ; Mattias Jonsson 2

1 CNRS-Université Paris 7<br/>Institut de Mathématiques<br/> F-75251 Paris<br/>France
2 Department of Mathematics<br/>University of Michigan<br/>Ann Arbor, MI 48109-1043 
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Charles Favre; Mattias Jonsson. Dynamical compactifications of $\mathbf{C}^2$. Annals of mathematics, Tome 173 (2011) no. 1, pp. 211-249. doi : 10.4007/annals.2011.173.1.6. http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.173.1.6/

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