The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
We consider the k-osculating varietiesO to the Veronese d?uple embeddings of P. By studying the Hilbert function of certain zero-dimensional schemes Y ⊂ P, we find the dimension of O
, the (s?1) secant varieties of O, for 3 ≤ s ≤ 6 and s = 9, and we determine whether those secant varieties are defective or not.
In this paper we compute the dimension of all the s higher secant varieties of the Segre-Veronese embeddings Y of the product P × P × P in the projective space P via divisors of multidegree d = (a,b,c) (N = (a+1)(b+1)(c+1) - 1). We find that Y has no deficient higher secant varieties, unless d = (2,2,2) and s = 7, or d = (2h,1,1) and s = 2h + 1, with defect 1 in both cases.
Download Results (CSV)