2026-04-28T21:10:52Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/717592024-12-03T13:28:28Zcom_10324_1129com_10324_931com_10324_894col_10324_1194

Molina Samper, Beatriz Cano Torres, Felipe 2024-11-25T12:25:01Z 2024-11-25T12:25:01Z 2024 ano, F., Molina-Samper, B. (2024). Local Invariant Hypersurfaces for Singular Foliations. In: Cano, F., Cisneros-Molina, J.L., Dũng Tráng, L., Seade, J. (eds) Handbook of Geometry and Topology of Singularities VI: Foliations. Springer, Cham. https://doi.org/10.1007/978-3-031-54172-8_5 https://uvadoc.uva.es/handle/10324/71759 The question of R. Thom of existence of invariant hypersurface for germs of holomorphic codimension one foliations is a leitmotiv in the theory. In these notes, we give a panorama of the state of art of this question, where the reduction of singularities plays a central role. We start with an elementary and detailed study of the final points expected after reduction of singularities, focusing the attention on concepts and properties concerning invariant hypersurfaces. eng info:eu-repo/semantics/openAccess Local Invariant Hypersurfaces for Singular Foliations info:eu-repo/semantics/bookPart