On the Jacobian ideal of the binary discriminant

Carlos D'Andrea, Jaydeep Chipalkatti, Abdelmalek Abdesselam

Let $\Delta$ denote the discriminant of a generic binary $d$-ic. We show that for $d\ge 3$, the Jacobian ideal of $\Delta$ is perfect of height 2. Moreover, we describe its SL_2-equivariant…