A. Bernardi, M. V. Catalisano, A. Gimigliano, M. Idà
Published 2004-03-08Version 1
We 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.
Secant Varieties of (P ^1) X .... X (P ^1) (n-times) are NOT Defective for n \geq 5
Monomial projections of Veronese varieties: new results and conjectures
Equations for secant varieties to Veronese varieties
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