The Hessian discriminant
Tim Seynnaeve and Rodica Dinu
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Submission date: 16. Sep. 2019
MSC-Numbers: 14Q10, 14J25, 14L24
Keywords and phrases: Cubic surfaces, Hurwitz form, Hessian discriminant, Salmon invariants
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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.