On the Milnor number of non-isolated singularities of holomorphic foliations and its topological invariance

Arturo Fernández-Pérez, Gilcione Nonato Costa, Rudy Rosas

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

Resumen

We define the Milnor number of a one-dimensional holomorphic foliation (Formula presented.) as the intersection number of two holomorphic sections with respect to a compact connected component (Formula presented.) of its singular set. Under certain conditions, we prove that the Milnor number of (Formula presented.) on a three-dimensional manifold with respect to (Formula presented.) is invariant by (Formula presented.) topological equivalences.
Idioma originalEspañol
Páginas (desde-hasta)176-191
Número de páginas16
PublicaciónJournal of Topology
Volumen16
EstadoPublicada - 6 feb. 2023

Citar esto