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  3. Non-normal very ample polytopes-constructions and examples

Non-normal very ample polytopes-constructions and examples

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DOI
10.7892/boris.109148
Publisher DOI
10.1080/10586458.2015.1128370
Abstract
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.
Date Issued
2017
Publication Type
Article
Subject(s)
500 Science > 510 Mathematics
Language(s)
en
Author(s)
Lason, Michael  
Mathematisches Institut (MAI)  
Michałek, Mateusz
Additional Credits
Mathematisches Institut (MAI)  
Journal
Experimental mathematics
Publisher
Taylor & Francis
ISSN
1058-6458
Access(Rights)
restricted
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