Non-Normal Very Ample Polytopes : Constructions and Examples

Lasoń, Michał; Michalek, Mateusz

Non-Normal Very Ample Polytopes : Constructions and Examples

Dateien

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Datum

2017

Autor:innen

Lasoń, Michał

Michalek, Mateusz

DOI (zitierfähiger Link)

https://doi.org/10.1080/10586458.2015.1128370

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Experimental Mathematics. Taylor & Francis. 2017, 26(2), pp. 130-137. ISSN 1058-6458. eISSN 1944-950X. Available under: doi: 10.1080/10586458.2015.1128370

Zusammenfassung

We answer several questions posed by Beck, Cox, Delgado, Gubeladze, Haase, Hibi, Higashitani, and Maclagan in [Cox et al. 14, Question 3.5 (1),(2), Question 3.6], [Beck et al. 15, Conjecture 3.5(a),(b)], and [Hasse et al. 07, Open question 3 (a),(b) p. 2310, Question p. 2316] by constructing a new family of non-normal very ample polytopes. These polytopes are certain segmental fibrations of unimodular graph polytopes, we explicitly compute their invariants – Hilbert function, Ehrhart polynomial, and gap vector.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

normal polytope, very ample polytope, graph polytope, Hilbert basis, gap vector, segmental fibration

Zitieren

ISO 690

LASOŃ, Michał, Mateusz MICHALEK, 2017. Non-Normal Very Ample Polytopes : Constructions and Examples. In: Experimental Mathematics. Taylor & Francis. 2017, 26(2), pp. 130-137. ISSN 1058-6458. eISSN 1944-950X. Available under: doi: 10.1080/10586458.2015.1128370

BibTex

@article{Lason2017NonNo-52318,
  year={2017},
  doi={10.1080/10586458.2015.1128370},
  title={Non-Normal Very Ample Polytopes : Constructions and Examples},
  number={2},
  volume={26},
  issn={1058-6458},
  journal={Experimental Mathematics},
  pages={130--137},
  author={Lasoń, Michał and Michalek, Mateusz}
}

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