On a Mattei-Salem theorem

Fernández-Pérez A.; Saravia-Molina N. · Annales Polonici Mathematici (2026) · DOI: 10.4064/ap240820-22-12

Resumen

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. © Instytut Matematyczny PAN, 2025