1
This is a fairly straightforward question, and I am hoping a definitive answer exists.
Does there exist a quadratic form $A \in \mathbb{C}[x_1, x_2, x_3, x_4]$ and a cubic form $B \in \mathbb{C}[x_1, x_2, x_3, x_4]$ such that
$$D = 4A^3 + 27B^2 = L_1 \cdots L_6,$$
where the $L_i$'s are distinct (...
