Vandermonde determinantal ideals

Abstract

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 $(n-k,1,...,1)$.

arXiv comment6 pages, simplified the proof of the main result. To appear in Math. Scand

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