Algebraic properties of binomial edge ideals of Levi graphs associated with curve arrangements
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916181181464576 |
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| author | Karmakar, Rupam Sarkar, Rajib Subramaniam, Aditya |
| author_facet | Karmakar, Rupam Sarkar, Rajib Subramaniam, Aditya |
| contents | In this article, we study algebraic properties of binomial edge ideals of Levi graphs associated with certain plane curve arrangements. Using combinatorial properties of Levi graphs, we discuss the Cohen-Macaulayness of binomial edge ideals of Levi graphs associated to some curve arrangements in the complex projective plane, like the $d$-arrangement of curves and the conic-line arrangements. We also discuss the existence of certain induced cycles in the Levi graphs of these arrangements and obtain lower bounds for the regularity of powers of the corresponding binomial edge ideals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_08191 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Algebraic properties of binomial edge ideals of Levi graphs associated with curve arrangements Karmakar, Rupam Sarkar, Rajib Subramaniam, Aditya Commutative Algebra Algebraic Geometry Combinatorics 05E40, 13C14, 13C15, 14N10, 14N20 In this article, we study algebraic properties of binomial edge ideals of Levi graphs associated with certain plane curve arrangements. Using combinatorial properties of Levi graphs, we discuss the Cohen-Macaulayness of binomial edge ideals of Levi graphs associated to some curve arrangements in the complex projective plane, like the $d$-arrangement of curves and the conic-line arrangements. We also discuss the existence of certain induced cycles in the Levi graphs of these arrangements and obtain lower bounds for the regularity of powers of the corresponding binomial edge ideals. |
| title | Algebraic properties of binomial edge ideals of Levi graphs associated with curve arrangements |
| topic | Commutative Algebra Algebraic Geometry Combinatorics 05E40, 13C14, 13C15, 14N10, 14N20 |
| url | https://arxiv.org/abs/2310.08191 |