# Some defective secant varieties to osculating varieties of Veronese surfaces.

Alessandra Bernardi; Maria Virginia Catalisano

Collectanea Mathematica (2006)

- Volume: 57, Issue: 1, page 43-68
- ISSN: 0010-0757

## Access Full Article

top## Abstract

top## How to cite

topBernardi, 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.