In this paper we study the k-th osculating variety of the order d Veronese embedding of P n. In particular, for k=n=2 we show that the corresponding secant varieties have the expected dimension except in one case.
@article{bwmeta1.element.doi-10_2478_BF02475212,
author = {E. Ballico and C. Fontanari},
title = {On the secant varieties to the osculating variety of a Veronese surface},
journal = {Open Mathematics},
volume = {1},
year = {2003},
pages = {315-326},
zbl = {1078.14533},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02475212}
}
E. Ballico; C. Fontanari. On the secant varieties to the osculating variety of a Veronese surface. Open Mathematics, Tome 1 (2003) pp. 315-326. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475212/
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