This is a survey on local dynamics of holomorphic maps in one and several complex variables, discussing in particular normal forms and the structure of local stable sets in the non-hyperbolic case, and including several proofs and a vast bibliography. It updates and enlarge the previous survey arXiv:math/0310089v1.
CITATION STYLE
Abate, M. (2010). Discrete Holomorphic Local Dynamical Systems (pp. 1–55). https://doi.org/10.1007/978-3-642-13171-4_1
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