Chow polynomials of simplicial posets with positive $h$-vector are real-rooted
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909747557433344 |
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| author | Hoster, Elena Stump, Christian |
| author_facet | Hoster, Elena Stump, Christian |
| contents | We prove that a finite graded simplicial poset with a top element added has real-rooted Chow and augmented Chow polynomials whenever it has a positive $h$-vector. This class of posets include Cohen-Macaulay simplicial posets and in particular lattices of flats of uniform matroids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_15538 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chow polynomials of simplicial posets with positive $h$-vector are real-rooted Hoster, Elena Stump, Christian Combinatorics We prove that a finite graded simplicial poset with a top element added has real-rooted Chow and augmented Chow polynomials whenever it has a positive $h$-vector. This class of posets include Cohen-Macaulay simplicial posets and in particular lattices of flats of uniform matroids. |
| title | Chow polynomials of simplicial posets with positive $h$-vector are real-rooted |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2508.15538 |