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The real-rootedness of the toric $g$-contribution polynomials — arXiv:2609.01086

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.01086
License (as archived): CC0-1.0
Archived: 2026-10-17T07:06:21.860Z
SHA-256 of the archived text: 55170b929750d7a3541cefd8ed69c480151c82d3b56eacc426fdf4513f7e56a9
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How to cite

The real-rootedness of the toric $g$-contribution polynomials — arXiv:2609.01086 — arXiv (en), https://arxiv.org/abs/2609.01086 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_c8bb607a0ade (Metraipolis archive dc_c8bb607a0ade, sha256 55170b929750d7a3541cefd8ed69c480151c82d3b56eacc426fdf4513f7e56a9)

BibTeX

@misc{dcc8bb607a0ade,
  title = {The real-rootedness of the toric $g$-contribution polynomials — arXiv:2609.01086},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.01086},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_c8bb607a0ade; sha256 55170b929750d7a3541cefd8ed69c480151c82d3b56eacc426fdf4513f7e56a9},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.01086. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Recently, Ehrenborg, Hetyei and Readdy expressed the toric $g$-polynomial of a simple polytope as a linear combination of a family of polynomials, called $g$-contribution polynomials, with coefficients given by the entries of its gamma-vector. They conjectured that these toric $g$-contribution polynomials are real-rooted. This paper proves this conjecture.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-02 in math.CO).
Categorie arXiv: Combinatorics (math.CO).
Pagina del lavoro: https://arxiv.org/abs/2609.01086 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-17T06:52:59.686Z dalla pagina https://arxiv.org/catchup/math.CO/2026-09-02?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).