2026-04-28T19:16:53Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/655182024-12-04T07:53:35Zcom_10324_1129com_10324_931com_10324_894col_10324_1193

Cano Torres, José María Fortuny Ayuso, Pedro Ribón, Javier Cano Torres, José María 2020 Let F be a germ of holomorphic foliation defined in a neigh- borhood of the origin of C2 that has a germ of irreducible holomorphic invariant curve γ. We provide a lower bound for the vanishing multiplicity of F at the origin in terms of the equisingularity class of γ. Moreover, we show that such a lower bound is sharp. Finally, we characterize the types of dicritical singularities for which the multiplicity of F can be bounded in terms of that of γ, and provide an explicit bound in this case. application/pdf https://uvadoc.uva.es/handle/10324/65518 eng European Mathematical Society Publishing House 1204 Geometría 1201 Álgebra The local Poincaré problem for irreducible branches info:eu-repo/semantics/article TEXT UVaDOC. Repositorio Documental de la Universidad de Valladolid Hispana