Ein–Lazarsfeld conjecture for linear syzygies
Let Pn\mathbf P^nPn be projective nnn-space, embedded by OPn(d)\mathcal{O}_{\mathbf P^n}(d)OPn(d), and let Kp,1(Pn,OPn(d))\mathrm{K}_{p,1}(\mathbf P^n,\mathcal{O}_{\mathbf P^n}(d))Kp,1(Pn,OPn(d)) denote the Koszul cohomo…