On a Mattei-Salem theorem
arXiv:2408.10767
Abstract
We investigate the relationship between the valuations of a germ of a singular foliation on the complex plane and those of a balanced equation of separatrices for , extending a theorem by Mattei-Salem. Under certain conditions, we also derive inequalities involving the valuation, tangency excess, and degree of a holomorphic foliation on the complex projective plane.
13 pages. To appear in Annales Polonici Mathematici