The dynamics near quasi-parabolic fixed points of holomorphic diffeomorphisms in [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]

Let F be a germ of holomorphic diffeomorphism of [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="02i" /] fixing O and such that dF_O has eigenvalues 1 and e^iθ with |e^iθ| = 1 and e^iθ ≠ 1. Introducing suitable normal forms for F we define an invariant, v(F) ≥ 2, and a generic condition, that of being dynamically separating. In the case F is dynamically separating, we prove that there exist v(F)-1 parabolic curves for F at O tangent to the eigenspace of 1.