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math.DS2004★ 2 cited
Sur les structures de Poisson singulières
Laurent Stolovitch
We are interested in analytic singular Poisson structures with a non zero linear part at the singularity. Using recent work of the author about holomorphic normalization of commuta…
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.DS2002
Torus actions and automorphism groups of singularities of integrable dynamical systems
Nguyen Tien Zung
We show that in the neighborhood of each ``finite type'' singular orbit of a real analytic integrable dynamical system (hamiltonian or not) there is a real analytic torus action wh…