Non-normal very ample polytopes - constructions and examples

Abstract

We present a method of constructing non-normal very ample polytopes as a segmental fibration of unimodular graph polytopes. In many cases we explicitly compute their invariants - Hilbert function, Ehrhart polynomial, gap vector. In particular, we answer several questions posed by Beck, Cox, Delgado, Gubeladze, Haase, Hibi, Higashitani and Maclagan.

References in corpus (2)

• Existence of unimodular triangulations - positive results
• Plethysm and lattice point counting

Cited by in corpus (4)

• Existence of unimodular triangulations - positive results
• Product-Mix Auctions and Tropical Geometry
• Integer decomposition property for Cayley sums of order and stable set polytopes
• A note on seminormality of cut polytopes