2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61110We describe the valuations following infinitely near singular points of a (singular) holomorphic foliation in the complex plane. They appear to be those satisfying a generalization of L'Hopital's rule. With them, we characterize dicritical vector fields, generic simple singularities, the existence of non- convergent solutions, etc. The construction is generalizable to dimension n.16 pages, uses package: diagram.texAlgebraic GeometryCommutative Algebra13A18; 32S65text