Equivariant Syzygies of the Ideal of 2 x 2 Permanents of a 2 x n Matrix
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910819061596160 |
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| author | Zoromski, Jacob |
| author_facet | Zoromski, Jacob |
| contents | We describe the equivariant syzygies of the ideal of $2 \times 2$ permanents of a generic $2 \times n$ matrix under its natural symmetric and torus group actions. Our proof gives us a new method of finding the Betti numbers of this ideal, which were first described by Gesmundo, Huang, Schenck, and Weyman. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05358 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivariant Syzygies of the Ideal of 2 x 2 Permanents of a 2 x n Matrix Zoromski, Jacob Commutative Algebra 13D02, 05E40, 20C30 We describe the equivariant syzygies of the ideal of $2 \times 2$ permanents of a generic $2 \times n$ matrix under its natural symmetric and torus group actions. Our proof gives us a new method of finding the Betti numbers of this ideal, which were first described by Gesmundo, Huang, Schenck, and Weyman. |
| title | Equivariant Syzygies of the Ideal of 2 x 2 Permanents of a 2 x n Matrix |
| topic | Commutative Algebra 13D02, 05E40, 20C30 |
| url | https://arxiv.org/abs/2502.05358 |