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research article
Non-Normal Very Ample Polytopes - Constructions and Examples
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.
Type
research article
Web of Science ID
WOS:000396782600002
Authors
Publication date
2017
Publisher
Published in
Volume
26
Issue
2
Start page
130
End page
137
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
May 1, 2017
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