RT info:eu-repo/semantics/article T1 On the Approximate Polar Curves of Foliations A1 Percy Fernández-Sánchez A1 García Barroso, Evelia Rosa A1 Nancy Saravia-Molina A2 MatemáticasEstadística e Investigación Operativa A2 Grupo de investigación GASIULL (Geometría algebraica: singularidades e invariantes) K1 non-dicritical foliation K1 polar curve K1 characteristic approximate root AB We present a decomposition theorem of the generic polar curves of a generalized curve foliation with only one separatrix and the Hamiltonian foliations defined by the approximate roots of the generatrix. This is a generalization to foliations of the decomposition theorem of approximate Jacobians given by García Barroso and Gwo´ zdziewicz for plane branches. YR 2023 FD 2023 LK http://riull.ull.es/xmlui/handle/915/40836 UL http://riull.ull.es/xmlui/handle/915/40836 LA Inglés NO doi: https://doi.org/10.3390/math11030613Autores: P. Fernández-Sánchez-E.R. García Barroso-N. Saravia-Molina,Publicado en abierto. Accesible en: https://www.mdpi.com/2227-7390/11/3/613 DS Repositorio institucional de la Universidad de La Laguna RD 06-nov-2025