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arXiv · 2106.03900

Toric ideals which are determinantal

Reza Abdolmaleki·Rashid Zaare-Nahandi
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Abstract

Given any equigenerated monomial ideal $I$ with the property that the defining ideal $J$ of the fiber cone $ F(I)$ of $I$ is generated by quadratic binomials, we introduce a matrix such that the set of its binomial $2$-minors is a generating set of $J$. In this way, we characterize the fiber cone of sortable and Freiman ideals.

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Reza Abdolmaleki, Rashid Zaare-Nahandi. 2021-06-07. Toric ideals which are determinantal. https://arxiv.org/abs/2106.03900

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