  The method of shifted partial derivatives was used to prove a
super-polynomial lower bound on the size of depth four circuits needed to
compute the permanent. We show that this method alone cannot prove that the
padded permanent $\ell^{n-m} perm_m$ cannot be realized inside the
$GL_{n^2}$-orbit closure of the determinant $ det_n$ when $n>2m^2+2m$. Our
proof relies on several simple degenerations of the determinant polynomial,
Macaulay's theorem that gives a lower bound on the growth of an ideal, and a
lower bound estimate from Gupta et. al. regarding the shifted partial
derivatives of the determinant.
