2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106245Classifications of irreducible components of the set of polynomial differential equations with a fixed degree and with at least one center singularity lead to some other new problems on Picard-Lefschetz theory and Brieskorn modules of polynomials. In this article we explain these problems and their connections to such classifications.7-pagesClassical Analysis and ODEsAlgebraic Geometry32L30-14D05text