Binomial ideals attached to finite collections of cells
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866911910179373056 |
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| author | Herzog, Jürgen Hibi, Takayuki Moradi, Somayeh |
| author_facet | Herzog, Jürgen Hibi, Takayuki Moradi, Somayeh |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_06715 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Binomial ideals attached to finite collections of cells Herzog, Jürgen Hibi, Takayuki Moradi, Somayeh Commutative Algebra Primary 13F20, Secondary 05E40 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. |
| title | Binomial ideals attached to finite collections of cells |
| topic | Commutative Algebra Primary 13F20, Secondary 05E40 |
| url | https://arxiv.org/abs/2205.06715 |