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MiS Preprint

The Hessian discriminant

Tim Seynnaeve and Rodica Dinu


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.

Sep 16, 2019
Sep 20, 2019
MSC Codes:
14Q10, 14J25, 14L24
Cubic surfaces, Hurwitz form, Hessian discriminant, Salmon invariants

Related publications

2020 Journal Open Access
Rodica Dinu and Tim Seynnaeve

The Hessian discriminant

In: Le Matematiche, 75 (2020) 2, pp. 595-610