Vandermonde determinantal ideals

Authors

  • Junzo Watanabe
  • Kohji Yanagawa

DOI:

https://doi.org/10.7146/math.scand.a-114906

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 $(n-k,1, …,1)$.

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Published

2019-10-19

Issue

Vol. 125 No. 2 (2019)

Section

Articles

How to Cite

[1]
J. Watanabe and K. Yanagawa, “Vandermonde determinantal ideals”, Math. Scand., vol. 125, no. 2, pp. 179–184, Oct. 2019, doi: 10.7146/math.scand.a-114906.