Golod ideals in combinatorial commutative algebra
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866916028399747072 |
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| author | Briggs, Benjamin Chau, Trung De Stefani, Alessandro |
| author_facet | Briggs, Benjamin Chau, Trung De Stefani, Alessandro |
| contents | In this article we study the Golod property of standard graded algebras. We show that determinantal ideals, binomial edge ideals, and permanental ideals are Golod if and only if they have a linear resolution. Next, we give a characterization of when cover ideals define Golod rings, exploiting some considerations on multidegrees of Koszul cycles and Massey products. Finally, we show that squarefree strongly Golod ideals (and, more generally, lcm-strongly Golod ideals) are Golod, and not just weakly Golod. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_19973 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Golod ideals in combinatorial commutative algebra Briggs, Benjamin Chau, Trung De Stefani, Alessandro Commutative Algebra 13D02, 13C13 In this article we study the Golod property of standard graded algebras. We show that determinantal ideals, binomial edge ideals, and permanental ideals are Golod if and only if they have a linear resolution. Next, we give a characterization of when cover ideals define Golod rings, exploiting some considerations on multidegrees of Koszul cycles and Massey products. Finally, we show that squarefree strongly Golod ideals (and, more generally, lcm-strongly Golod ideals) are Golod, and not just weakly Golod. |
| title | Golod ideals in combinatorial commutative algebra |
| topic | Commutative Algebra 13D02, 13C13 |
| url | https://arxiv.org/abs/2605.19973 |