English

The Hessian Discriminant

Algebraic Geometry 2019-09-17 v1

Abstract

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

Keywords

Cite

@article{arxiv.1909.06681,
  title  = {The Hessian Discriminant},
  author = {Rodica Dinu and Tim Seynnaeve},
  journal= {arXiv preprint arXiv:1909.06681},
  year   = {2019}
}
R2 v1 2026-06-23T11:15:28.033Z