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Formal Poincaré-Dulac renormalization for holomorphic germs

Formal Poincaré-Dulac renormalization for holomorphic germs

In this revised version, applying a general renormalization procedure for formal self-maps, producing a formal normal form simpler than the classical Poincar\'e-Dulac normal form, we shall give a complete list of normal forms for bi-dimensional superattracting germs with non-vanishing quadratic term; in most cases, our normal forms will be the …