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arXiv · 2109.00578

Short polynomials in determinantal ideals

Thomas Kahle·Finn Wiersig
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Abstract

We show that a determinantal ideal generated by $t$-minors does not contain any nonzero polynomials with $t!/2$ or fewer terms. Geometrically this means that any nonzero polynomial vanishing on all matrices of rank at most $t-1$ has more than $t!/2$ terms.

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Thomas Kahle, Finn Wiersig. 2021-09-01. Short polynomials in determinantal ideals. https://arxiv.org/abs/2109.00578

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