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arxiv: 1712.04262 · v3 · pith:FS2BCTBNnew · submitted 2017-12-12 · 🧮 math.AC

Vandermonde determinantal ideals

classification 🧮 math.AC
keywords generatedidealminorsvandermondecohen-macaulaydeterminantalidealsmatrix
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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 $(n-k,1,...,1)$.

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