The Hessian Discriminant

2019/09/14 by Dinu, Rodica, Seynnaeve, Tim
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1909.06681

Abstract

We express the Hessian discriminant of a cubic surface in terms of fundamental invariants. This answers Question 15 from the 27 questions on the cubic surface. We also explain how to compute the fundamental invariants for smooth cubics of rank 6.

Related

• Hessians and the moduli space of cubic surfaces
• Ranks and Singularities of Cubic Surfaces
• The discriminant of a cubic surface
• Hessian quartic surfaces that are Kummer surfaces
• Computing invariants of cubic surfaces