Newton polytopes of dual Schubert polynomials
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915033614647296 |
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| author | An, Serena Tung, Katherine Zhang, Yuchong |
| author_facet | An, Serena Tung, Katherine Zhang, Yuchong |
| contents | The M-convexity of dual Schubert polynomials was first proven by Huh, Matherne, Mészáros, and St. Dizier in 2022. We give a full characterization of the supports of dual Schubert polynomials, which yields an elementary alternative proof of the M-convexity result, and furthermore strengthens it by explicitly characterizing the vertices of their Newton polytopes combinatorially. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16654 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Newton polytopes of dual Schubert polynomials An, Serena Tung, Katherine Zhang, Yuchong Combinatorics The M-convexity of dual Schubert polynomials was first proven by Huh, Matherne, Mészáros, and St. Dizier in 2022. We give a full characterization of the supports of dual Schubert polynomials, which yields an elementary alternative proof of the M-convexity result, and furthermore strengthens it by explicitly characterizing the vertices of their Newton polytopes combinatorially. |
| title | Newton polytopes of dual Schubert polynomials |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2411.16654 |