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arXiv · 2603.22132

The Complete Intersection property for binomial ideals of collections of cells

Rodica Dinu·Francesco Navarra
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Abstract

In this paper, we provide a combinatorial characterization of those collections of cells whose inner $2$-minor ideals are complete intersections. More precisely, given a collection of cells $\mathcal C$ and its associated inner $2$-minor ideal $I_{\mathcal C}$, we prove that $I_{\mathcal C}$ is a complete intersection if and only if $\mathcal C$ is a chessboard.

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Rodica Dinu, Francesco Navarra. 2026-03-23. The Complete Intersection property for binomial ideals of collections of cells. https://arxiv.org/abs/2603.22132

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