2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141171Waring problem for homogeneus forms asks for additive decomposition of a form $f$ into powers of linear forms. A classical problem is to determine when such a decomposition is unique. In this note I refine the work in arXiv:math/0406288v1 and answer this question under a divisibility assumption. To do this I translate the algebraic statement into a geometric one concerning the base loci of linear systems of $P^n$ with assigned singularities.7 pages, AMSLaTeX2eAlgebraic Geometry14J70; 14N05;14E05Base loci of linear systems and the Waring problemtext