Some defective secant varieties to osculating varieties of Veronese surfaces

Bernardi, Alessandra ; Catalisano, Maria Virginia (2006) Some defective secant varieties to osculating varieties of Veronese surfaces. Collect. Math., 57 (1). pp. 43-68.
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Abstract. We consider the k-osculating varieties Ok,d to the Veronese d−uple embeddings of P2. By studying the Hilbert function of certain zero-dimensional schemes Y ⊂ P2, we find the dimension of Os,k,d, the (s − 1)thsecant varieties of Ok,d, for 3 ≤ s ≤ 6 and s = 9, and we determine whether those secant varieties are defective or not.

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Bernardi, Alessandra
Catalisano, Maria Virginia
Deposit date
01 Jul 2010 12:16
Last modified
17 Feb 2016 15:09

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