We consider the k-osculating varieties O(k,d) to the Veronese d-uple embeddings of P2. By studying the Hilbert function of certain zero-dimensional schemes Y subset of P2, we find the dimension of O^s(k,d), the (s - 1)-th secant varieties of O(k,d), for 3 ≤ s ≤ 6 and s = 9, and we determine whether those secant varieties are defective or not.

Some defective secant varieties to osculating varieties of Veronese surfaces

CATALISANO, MARIA VIRGINIA
2006-01-01

Abstract

We consider the k-osculating varieties O(k,d) to the Veronese d-uple embeddings of P2. By studying the Hilbert function of certain zero-dimensional schemes Y subset of P2, we find the dimension of O^s(k,d), the (s - 1)-th secant varieties of O(k,d), for 3 ≤ s ≤ 6 and s = 9, and we determine whether those secant varieties are defective or not.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/222686
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