Syzygies of the apolar ideals of the determinant and permanent

Jarod Alper, Rowan Rowlands

We investigate the space of syzygies of the apolar ideals ${\det }_n^{\perp }$ and ${\mathrm{perm}}_n^{\perp }$ of the determinant ${\det }_n$ and permanent ${\mathrm{perm}}_n$ polynomials. Shafiei had…