Secant Varieties of the Varieties of Reducible Hypersurfaces in ${\mathbb{P}}^n$

M. V. Catalisano, A. V. Geramita, A. Gimigliano +4

Given the space $V={\mathbb{P}}^{\left(\genfrac{}{}{0ex}{}{d+n-1}{n-1}\right)-1}$ of forms of degree $d$ in $n$ variables, and given an integer $\ell >1$ and a partition $\lambda$ of $d=d_1+\cdots +d_r$, it is in ge…