2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70387We consider the varieties $O_{k,n.d}$ of the k-osculating spaces to the Veronese varieties, the $d-$uple embeddings of $\PP n$; we study the dimension of their higher secant varieties. Via inverse systems (apolarity) and the study of certain spaces of forms we are able, in several cases, to determine whether those secant varieties are defective or not.12 pagesAlgebraic GeometryCommutative Algebra14M99text