2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68777Let X be a complete toric variety with homogeneous coordinate ring S. In this article, we compute upper and lower bounds for the codimension in the critical degree of ideals of S generated by dim(X)+1 homogeneous polynomials that don't vanish simultaneously on X.Small changes including improved introduction. To appear: Proc. AMSAlgebraic GeometryCommutative Algebra14M25Codimension Theorems for Complete Toric Varietiestext