Question 3: Shape of the discriminant

Question

The discriminant of a cubic quaternary form is a degree 32 polynomial in the coefficients of the cubic. How many monomials does this polynomial have? How many vertices does its Newton polytope have, i.e., how many D-equivalence classes of regular triangulations are there?

Active problem

This problem is currently being worked on by Dominic Bunnett, Lars Kastner, Robert Löwe and Marta Panizzut (since February 2019).

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