paper

Osculating Varieties of Veronesean and their higher secant varieties

arXiv:math/0403132

Abstract

We consider the varieties of the k-osculating spaces to the Veronese varieties, the uple embeddings of $\PP n$; we study the dimension of their higher secant varieties. Via inverse systems (apolarity) and the study of certain spaces of forms we are able, in several cases, to determine whether those secant varieties are defective or not.

12 pages

Osculating Varieties of Veronesean and their higher secant varieties · wovepaper