Vandermonde determinantal ideals

We show that the ideal generated by maximal minors (i.e., $(k+1)$-minors) of a $(k+1)\times n$ Vandermonde matrix is radical and Cohen-Macaulay. Note that this ideal is generated by all Specht polynomials with shape $(n-k,1,\mathrm{.}\mathrm{.}\mathrm{.},1)$.