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arXiv · 2205.06715

Binomial ideals attached to finite collections of cells

Jürgen Herzog·Takayuki Hibi·Somayeh Moradi
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Abstract

We consider the ideal of inner $2$-minors $I_{\mathcal{P}}$ of a finite set of cells $\mathcal{P}$, which we call the cell ideal of $\mathcal{P}$. A nice interpretation for the height of an unmixed ideal $I_{\mathcal{P}}$, in terms of the number of cells of $\mathcal{P}$ is given. Moreover, the coordinate rings of cell ideals with isolated singularities are determined.

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Jürgen Herzog, Takayuki Hibi, Somayeh Moradi. 2024-06-08. Binomial ideals attached to finite collections of cells. https://arxiv.org/abs/2205.06715

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