2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144762We present an application of elimination theory to the study of singularities over arbitrary fields, particularly to the open problem of resolution. A partial extension of a function, defining resolution of singularities over fields of characteristic zero, is discussed here in positive characteristic.29 pagesAlgebraic GeometryCommutative Algebra14E15Elimination with applications to singularities in positive characteristictext