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We give formulas for the degrees of the spaces of foliations in P2 with adicritical singularity of prescribed order. Blowing up such singularityinduces, generically, a foliation with all but finitely many leaves transversalto the exceptional line; we also find the degree of the locus defined byimposing a leaf of total contact with the exceptional line.

Degenerate singularities of one dimensional foliations