Geometry of syzygies via Poncelet varieties

Giovanna Ilardi, Paola Supino, Jean Vallès

We consider the Grassmannian $\mathbb{G}r(k,n)$ of $(k+1)$-dimensional linear subspaces of $V_n=H^0({\P }^1,{Ø}_{{\P }^1}(n))$. We define ${\mathfrak{X}}_{k,r,d}$ as the classifying space of the…