Ideals generated by $a$-fold products of linear forms have linear graded free resolution

Ricardo Burity, Ştefan O. Tohǎneanu, Yu Xie

Given $\Sigma \subset R:=\mathbb{K}[x_1,\dots ,x_k]$, where $\mathbb{K}$ is a field of characteristic 0, any finite collection of linear forms, some possibly proportional, and any $1\leq a…