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1. CJM 2007 (vol 59 pp. 488)

Bernardi, A.; Catalisano, M. V.; Gimigliano, A.; Idà, M.
 Osculating Varieties of Veronese Varieties and Their Higher Secant Varieties We consider the \$k\$-osculating varieties \$O_{k,n.d}\$ to the (Veronese) \$d\$-uple embeddings of \$\PP^n\$. We study the dimension of their higher secant varieties via inverse systems (apolarity). By associating certain 0-dimensional schemes \$Y\subset \PP^n\$ to \$O^s_{k,n,d}\$ and by studying their Hilbert functions, we are able, in several cases, to determine whether those secant varieties are defective or not. Categories:14N15, 15A69

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