Lason, Michael; Michałek, Mateusz
(2017).
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Non-normal very ample polytopes-constructions and examples.
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Experimental mathematics, 26(2), pp. 130-137.
Taylor & Francis
10.1080/10586458.2015.1128370

Text
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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 nonnormal 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.

## Item Type: |
Journal Article (Original Article) |
---|---|

## Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |

## UniBE Contributor: |
Lason, Michael |

## Subjects: |
500 Science > 510 Mathematics |

## ISSN: |
1058-6458 |

## Publisher: |
Taylor & Francis |

## Language: |
English |

## Submitter: |
Olivier Bernard Mila |

## Date Deposited: |
17 Apr 2018 16:10 |

## Last Modified: |
25 Oct 2019 17:27 |

## Publisher DOI: |
10.1080/10586458.2015.1128370 |

## BORIS DOI: |
10.7892/boris.109148 |

## URI: |
https://boris.unibe.ch/id/eprint/109148 |