The Complete Intersection property for binomial ideals of collections of cells
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908907129012224 |
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| author | Dinu, Rodica Navarra, Francesco |
| author_facet | Dinu, Rodica Navarra, Francesco |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22132 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Complete Intersection property for binomial ideals of collections of cells Dinu, Rodica Navarra, Francesco Commutative Algebra Combinatorics 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. |
| title | The Complete Intersection property for binomial ideals of collections of cells |
| topic | Commutative Algebra Combinatorics |
| url | https://arxiv.org/abs/2603.22132 |