Título: Local Invariant Hypersurfaces for Singular Foliations
Autores: Felipe Cano, Beatriz Molina-Samper
Fecha de publicación: 2024/6/21
Libro: Handbook of Geometry and Topology of Singularities VI: Foliations
Páginas: 151-199
Editor: Springer Nature Switzerland
Descripción: 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.