Knutson ideals of generic matrices
Commutative Algebra
2021-01-19 v1
Abstract
In this paper we show that determinantal ideals of generic matrices are Knutson ideals. This fact leads to a useful result about Gr\"obner bases of certain sums of determinantal ideals. More specifically, given a sum of ideals of minors on adjacent columns or rows, we prove that the union of the Gr\"obner bases of the 's is a Gr\"obner basis of .
Keywords
Cite
@article{arxiv.2101.06496,
title = {Knutson ideals of generic matrices},
author = {Lisa Seccia},
journal= {arXiv preprint arXiv:2101.06496},
year = {2021}
}