Normal forms of topologically quasi-homogeneous foliations on $(\C^2,0)$ (1309.1411v1)

Published 5 Sep 2013 in math.DS

Abstract: The aim of this paper is to construct formal normal forms for the class of topologically quasi-homogeneous foliations under generic conditions. Any such normal form is given as the sum of three terms: an initial generic quasi-homogeneous term, a hamiltonian term and a radial term. Moreover, we also show that the number of free coefficients in the hamiltonian part is consistent with the dimension of Mattei's moduli space of unfoldings.

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Authors (1)

Truong Hong Minh

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