Sylvester versus Gundelfinger

Andries E. Brouwer, Mihaela Popoviciu

Let $V_n$ be the ${\mathrm{SL}}_2$-module of binary forms of degree $n$ and let $V=V_1\oplus V_3\oplus V_4$. We show that the minimum number of generators of the algebra $R = \mathb…