2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71556Waring 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 paper I answer this question when the degree of $f$ is greater than the number of variables. To do this I translate the algebraic statement into a geometric one concerning the singularities of linear systems of $P^n$ with assigned singularities.15 pages AmsLaTeX2eAlgebraic Geometry14J70;14N05;14E05text