@article{Beck2015ample-52338,
  year={2015},
  doi={10.1007/s10801-014-0577-7},
  title={Very ample and Koszul segmental fibrations},
  number={1},
  volume={42},
  issn={0925-9899},
  journal={Journal of Algebraic Combinatorics},
  pages={165--182},
  author={Beck, Matthias and Delgado, Jessica and Gubeladze, Joseph and Michalek, Mateusz}
}

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    <dc:contributor>Delgado, Jessica</dc:contributor>
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    <dc:contributor>Beck, Matthias</dc:contributor>
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    <dc:creator>Michalek, Mateusz</dc:creator>
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    <dc:contributor>Michalek, Mateusz</dc:contributor>
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    <dcterms:abstract xml:lang="eng">In the hierarchy of structural sophistication for lattice polytopes, normal polytopes mark a point of origin; very ample and Koszul polytopes occupy bottom and top spots in this hierarchy, respectively. In this paper we explore a simple construction for lattice polytopes with a twofold aim. On the one hand, we derive an explicit series of very ample 3-dimensional polytopes with arbitrarily large deviation from the normality property, measured via the highest discrepancy degree between the corresponding Hilbert functions and Hilbert polynomials. On the other hand, we describe a large class of Koszul polytopes of arbitrary dimensions, containing many smooth polytopes and extending the previously known class of Nakajima polytopes.</dcterms:abstract>
    <dcterms:title>Very ample and Koszul segmental fibrations</dcterms:title>
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