Lason, Michael; Michałek, Mateusz (2017). Non-normal very ample polytopes-constructions and examples. Experimental mathematics, 26(2), pp. 130-137. Taylor & Francis 10.1080/10586458.2015.1128370
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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: |
05 Dec 2022 15:09 |
Publisher DOI: |
10.1080/10586458.2015.1128370 |
BORIS DOI: |
10.7892/boris.109148 |
URI: |
https://boris.unibe.ch/id/eprint/109148 |
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