$C^k$-conjugacy of holomorphic flows near a singularity

Marc Chaperon

Displaying similar documents to “ $C^{k}$ -conjugacy of holomorphic flows near a singularity”

Smooth linearization of germs of $R^{2}$ -actions and holomorphic vector fields

F. Dumortier, Robert Roussarie (1980)

Annales de l'institut Fourier

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The paper contains a generic condition permitting the linearization in class $𝒞^{k}$ , $0 \leq k \leq \infty$ , of germs of singular infinitesimal $R^{2}$ -actions on $R^{n}$ $(n \geq 2)$ and of singular holomorphic vector fields on $C^{n}$ $(n \geq 1)$ . It generalizes a similar result of S. Sternberg for germs of singular (real) vector fields on $R^{n}$ .