Free curves, Eigenschemes and Pencils of curves

Roberta Di Gennaro, Giovanna Ilardi, Rosa Maria Mirò-Roig +2

Let $R=K[x,y,z]$. A reduced plane curve $C=V(f)\subset {\mathbf{P}}^2$ is $free$ if its associated module of tangent derivations $\mathrm{Der}(f)$ is a free $R$-module, or equivale…