2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218160This is Part II of the series of our papers under the title "Toward resolution of singularities over a field of positive characteristic (The Idealistic Filtration Program)". See http://arxiv.org/abs/math/0607009 for Part I.v3Algebraic Geometry14E15Toward resolution of singularities over a field of positive characteristic (The Idealistic Filtration Program) Part II. Basic invariants associated to the idealistic filtration and their propertiestext