A binary tree of complete intersections with the strong Lefschetz property
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917602690859008 |
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| author | Harima, Tadahito Isogawa, Satoru Watanabe, Junzo |
| author_facet | Harima, Tadahito Isogawa, Satoru Watanabe, Junzo |
| contents | In this paper we give a new family of complete intersections which have the strong Lefschetz property. The family consists of (Artinian algebras defined by) ideals generated by power sum symmetric polynomials of consecutive degrees and of certain ideals naturally derived from them. This family has a structure of a binary tree and this observation is a key to prove that all members in it have the strong Lefschetz property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01096 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A binary tree of complete intersections with the strong Lefschetz property Harima, Tadahito Isogawa, Satoru Watanabe, Junzo Commutative Algebra 13E10, 13C13 In this paper we give a new family of complete intersections which have the strong Lefschetz property. The family consists of (Artinian algebras defined by) ideals generated by power sum symmetric polynomials of consecutive degrees and of certain ideals naturally derived from them. This family has a structure of a binary tree and this observation is a key to prove that all members in it have the strong Lefschetz property. |
| title | A binary tree of complete intersections with the strong Lefschetz property |
| topic | Commutative Algebra 13E10, 13C13 |
| url | https://arxiv.org/abs/2403.01096 |