Properties of Hesse derivatives of cubic curves

Sayan Dutta, Lorenz Halbeisen, Norbert Hungerbühler

The Hesse curve or Hesse derivative Hess$({\Gamma }_f)$ of a cubic curve ${\Gamma }_f$ given by a homogeneous polynomial $f$ is the set of points $P$ such that $\det \left(H_f(P)\right)=0$, whe…