2026-05-05T10:13:16Zhttps://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. application/pdf eng Springer Nature info:eu-repo/semantics/openAccess Local Invariant Hypersurfaces for Singular Foliations info:eu-repo/semantics/bookPart info:eu-repo/semantics/publishedVersion