Secant varieties to osculating varieties of Veronese embeddings of ${\mathbb{P}}^n$

A. Bernardi, M. V. Catalisano, A. Gimigliano +1

A well known theorem by Alexander-Hirschowitz states that all the higher secant varieties of $V_{n,d}$ (the $d$-uple embedding of ${\mathbb{P}}^n$) have the expected dimension, with…