The secant line variety to the varieties of reducible plane curves

Maria Virginia Catalisano, Anthony V. Geramita, Alessandro Gimigliano +1

Let $\lambda =[d_1,\dots ,d_r]$ be a partition of $d$. Consider the variety ${\mathbb{X}}_{2,\lambda }\subset {\mathbb{P}}^N$, $N=\left(\genfrac{}{}{0ex}{}{d+2}{2}\right)-1$, parameterizing forms $F\in k[x_0,x_1,x_2{]}_d$ whi…