Vandermonde determinantal ideals

Junzo Watanabe ^[1] ; Kohji Yanagawa ^[2]
1. [1] Tokai University
  
  Tokai University
  
  Japón
2. [2] Kansai University
  
  Kansai University
  
  Japón
Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 125, Nº 2, 2019, págs. 179-184
Idioma: inglés
DOI: 10.7146/math.scand.a-114906
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Resumen
- We show that the ideal generated by maximal minors (i.e., k+1-minors) of a (k+1)×n Vandermonde matrix is radical and Cohen-Macaulay. Note that this ideal is generated by all Specht polynomials with shape (n−k,1,…,1).