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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2507.22528 |
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| _version_ | 1866915452011151360 |
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| author | Hiep, Dang Tuan Nguyen-Dang, Khai-Hoan |
| author_facet | Hiep, Dang Tuan Nguyen-Dang, Khai-Hoan |
| contents | We prove that every supersymmetric Schur polynomial has a saturated Newton polytope (SNP). Our approach begins with a tableau-theoretic description of the support, which we encode as a polyhedron with a totally unimodular constraint matrix. The integrality of this polyhedron follows from the Hoffman-Kruskal criterion, thereby establishing the SNP property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22528 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Supersymmetric Schur polynomials have saturated Newton polytopes Hiep, Dang Tuan Nguyen-Dang, Khai-Hoan Combinatorics Representation Theory 52B20, 05E05 We prove that every supersymmetric Schur polynomial has a saturated Newton polytope (SNP). Our approach begins with a tableau-theoretic description of the support, which we encode as a polyhedron with a totally unimodular constraint matrix. The integrality of this polyhedron follows from the Hoffman-Kruskal criterion, thereby establishing the SNP property. |
| title | Supersymmetric Schur polynomials have saturated Newton polytopes |
| topic | Combinatorics Representation Theory 52B20, 05E05 |
| url | https://arxiv.org/abs/2507.22528 |