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2 papers
math.DS2004★ 1 cited
Linearisation d'endomorphismes holomorphes de CP(k) et caracterisation des exemples de Lattes par leur mesure de Green
Francois Berteloot, Christophe Dupont
Let f an holomorphic endomorphism of CP(k) with degree larger than 2. We show that if the Green measure of f is not singular, then f is rigid : it is a Lattes example. The proof re…
math.DS2001
Exemples de Lattes et domaines faiblement spheriques de C^n
C. Dupont
In this paper, we study the attracting basins of the origin in C^(k+1) for the polynomial lifts of Lattes examples. We show that their boundaries are obtained as quotient of a sphe…