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Quasi-polynomial valuations of lattice polytopes — arXiv:2611.00313

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.00313
License (as archived): CC0-1.0
Archived: 2026-11-03T18:49:26.482Z
SHA-256 of the archived text: 5889ebcf9cf409d6603dae4bf267461f9c8146b04e019755c17e9e8a700b174b
Stable URL of this page: https://metraipolis.com/documento/dc_ea645fa6dc36

How to cite

Quasi-polynomial valuations of lattice polytopes — arXiv:2611.00313 — arXiv (en), https://arxiv.org/abs/2611.00313 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_ea645fa6dc36 (Metraipolis archive dc_ea645fa6dc36, sha256 5889ebcf9cf409d6603dae4bf267461f9c8146b04e019755c17e9e8a700b174b)

BibTeX

@misc{dcea645fa6dc36,
  title = {Quasi-polynomial valuations of lattice polytopes — arXiv:2611.00313},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.00313},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_ea645fa6dc36; sha256 5889ebcf9cf409d6603dae4bf267461f9c8146b04e019755c17e9e8a700b174b},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.00313. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We prove that for any valuation $\varphi$ of lattice polytopes in ${\mathbb R}^m$, which is quasi-polynomial with respect to ${\mathbb Z}^m$-translations, and any lattice polytope $P$, the function $\varphi(nP)$ is quasi-polynomial in $n$.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.CO, nuovi lavori del giorno).
Categorie arXiv: Combinatorics (math.CO) ; Algebraic Geometry (math.AG).
Pagina del lavoro: https://arxiv.org/abs/2611.00313 — 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 2026-11-03T18:15:38.041Z dalla pagina https://arxiv.org/list/math.CO/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).