We investigate the relationship between the valuations of a germ of a singular foliation F on the complex plane and those of a balanced equation of separatrices for F, extending a theorem by Mattei-Salem. Under certain conditions, we also derive inequalities involving the valuation, tangency excess, and degree of a holomorphic foliation F on the complex projective plane.
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Fernández-Pérez et al. (2024) studied this question.
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