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Vandermonde determinantal ideals

Authors :
Kohji Yanagawa
Junzo Watanabe
Source :
MATHEMATICA SCANDINAVICA. 125:179-184
Publication Year :
2019
Publisher :
Det Kgl. Bibliotek/Royal Danish Library, 2019.

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 $(n-k,1,...,1)$.<br />Comment: 6 pages, simplified the proof of the main result. To appear in Math. Scand

Details

ISSN :
19031807 and 00255521
Volume :
125
Database :
OpenAIRE
Journal :
MATHEMATICA SCANDINAVICA
Accession number :
edsair.doi.dedup.....133efebb8c9c62a70f1ac69a2425e6fd
Full Text :
https://doi.org/10.7146/math.scand.a-114906