RT info:eu-repo/semantics/bookPart T1 Local Invariant Hypersurfaces for Singular Foliations A1 Molina Samper, Beatriz A1 Cano Torres, Felipe AB 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. PB Springer Nature YR 2024 FD 2024 LK https://uvadoc.uva.es/handle/10324/71759 UL https://uvadoc.uva.es/handle/10324/71759 LA eng NO 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 DS UVaDOC RD 07-ene-2025