Some defective secant varieties to osculating varieties of Veronese surfaces.

Bernardi, Alessandra, and Catalisano, Maria Virginia. "Some defective secant varieties to osculating varieties of Veronese surfaces.." Collectanea Mathematica 57.1 (2006): 43-68. <http://eudml.org/doc/41810>.

@article{Bernardi2006,
abstract = {We consider the k-osculating varietiesOk,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 Osk,d, the (s?1)th secant varieties of Ok,d, for 3 ≤ s ≤ 6 and s = 9, and we determine whether those secant varieties are defective or not.},
author = {Bernardi, Alessandra, Catalisano, Maria Virginia},
journal = {Collectanea Mathematica},
keywords = {Variedad algebraica; Secantes; Superficies algebraicas},
language = {eng},
number = {1},
pages = {43-68},
title = {Some defective secant varieties to osculating varieties of Veronese surfaces.},
url = {http://eudml.org/doc/41810},
volume = {57},
year = {2006},
}

TY - JOUR
AU - Bernardi, Alessandra
AU - Catalisano, Maria Virginia
TI - Some defective secant varieties to osculating varieties of Veronese surfaces.
JO - Collectanea Mathematica
PY - 2006
VL - 57
IS - 1
SP - 43
EP - 68
AB - We consider the k-osculating varietiesOk,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 Osk,d, the (s?1)th secant varieties of Ok,d, for 3 ≤ s ≤ 6 and s = 9, and we determine whether those secant varieties are defective or not.
LA - eng
KW - Variedad algebraica; Secantes; Superficies algebraicas
UR - http://eudml.org/doc/41810
ER -