A characterization of binomial Macaulay dual generators for complete intersections
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912277234450432 |
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| author | Shibata, Kohsuke |
| author_facet | Shibata, Kohsuke |
| contents | We characterize a binomial such that the Artinian algebra whose Macaulay dual generator is the binomial is a complete intersection. As an application, we prove that the Artinian algebra with a binomial Macaulay dual generator has the strong Lefschetz property in characteristic 0 if the Artinian algebra is a complete intersection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12407 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A characterization of binomial Macaulay dual generators for complete intersections Shibata, Kohsuke Commutative Algebra 13C40, 13E10 We characterize a binomial such that the Artinian algebra whose Macaulay dual generator is the binomial is a complete intersection. As an application, we prove that the Artinian algebra with a binomial Macaulay dual generator has the strong Lefschetz property in characteristic 0 if the Artinian algebra is a complete intersection. |
| title | A characterization of binomial Macaulay dual generators for complete intersections |
| topic | Commutative Algebra 13C40, 13E10 |
| url | https://arxiv.org/abs/2503.12407 |