Chow polynomials of uniform matroids are real-rooted
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914043443281920 |
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| author | Brändén, Petter Vecchi, Lorenzo |
| author_facet | Brändén, Petter Vecchi, Lorenzo |
| contents | June Huh and Matthew Stevens conjectured that the Hilbert-Poincaré series of the Chow ring of any matroid is a polynomial with only real zeros. We prove this conjecture for the class of uniform matroids. We also prove that the Chow polynomial and the augmented Chow polynomial of any maximally ranked poset has only real zeros. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07364 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chow polynomials of uniform matroids are real-rooted Brändén, Petter Vecchi, Lorenzo Combinatorics June Huh and Matthew Stevens conjectured that the Hilbert-Poincaré series of the Chow ring of any matroid is a polynomial with only real zeros. We prove this conjecture for the class of uniform matroids. We also prove that the Chow polynomial and the augmented Chow polynomial of any maximally ranked poset has only real zeros. |
| title | Chow polynomials of uniform matroids are real-rooted |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2501.07364 |