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arXiv · 2101.06496

Knutson ideals of generic matrices

Lisa Seccia
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Abstract

In this paper we show that determinantal ideals of generic matrices are Knutson ideals. This fact leads to a useful result about Gröbner bases of certain sums of determinantal ideals. More specifically, given $I=I_1+\ldots+I_k$ a sum of ideals of minors on adjacent columns or rows, we prove that the union of the Gröbner bases of the $I_j$'s is a Gröbner basis of $I$.

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Lisa Seccia. 2021-01-16. Knutson ideals of generic matrices. https://arxiv.org/abs/2101.06496

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