Hypersurfaces with vanishing hessian via Dual Cayley Trick
arXiv:1802.01295 · doi:10.1016/j.jpaa.2019.07.015
Abstract
We present a general construction of hypersurfaces with vanishing hessian, starting from any irreducible non-degenerate variety whose dual variety is a hypersurface and based on the so called Dual Cayley Trick. The geometrical properties of these hypersurfaces are different from the known series constructed until now. In particular, their dual varieties can have arbitrary codimension in the image of the associated polar map.
Final version. To appear in Journal of Pure and Applied Algebra