Vandermonde determinantal ideals
Commutative Algebra
2018-05-18 v3
Abstract
We show that the ideal generated by maximal minors (i.e., -minors) of a Vandermonde matrix is radical and Cohen-Macaulay. Note that this ideal is generated by all Specht polynomials with shape .
Keywords
Cite
@article{arxiv.1712.04262,
title = {Vandermonde determinantal ideals},
author = {Junzo Watanabe and Kohji Yanagawa},
journal= {arXiv preprint arXiv:1712.04262},
year = {2018}
}
Comments
6 pages, simplified the proof of the main result. To appear in Math. Scand