2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74568We introduce a certain index of a collection of germs of 1-forms on a germ of a singular variety which is a generalization of the local Euler obstruction corresponding to Chern numbers different from the top one.Algebraic GeometryComplex Variables14B05, 58A10, 55S99Chern obstructions for collections of 1-forms on singular varietiestext