Classification of absolutely dicritical foliations of cusp type

Mathematics – Complex Variables

Scientific paper

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18 pages

Scientific paper

We give a classification of absolutely dicritical foliations of cusp type,
that is, the germ of singularities of complex foliations in the complex plane
topologically equivalent to the singularity given by the level of the
meromorphic function \frac{y^{2}+x^{3}}{xy}.

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