2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144155Positive definite forms $f$ which are sums of squares are constructed to have the additional property that the members of any collection of forms whose squares sum to $f$ must share a nontrivial complex root.27 pagesAlgebraic GeometryAnalysis of PDEs12D15, 11E25, 35J30, 35J40Existence of positive definite noncoercive sums of squarestext