Very ample and Koszul segmental fibrations
| dc.contributor.author | Beck, Matthias | |
| dc.contributor.author | Delgado, Jessica | |
| dc.contributor.author | Gubeladze, Joseph | |
| dc.contributor.author | Michalek, Mateusz | |
| dc.date.accessioned | 2021-01-11T13:20:11Z | |
| dc.date.available | 2021-01-11T13:20:11Z | |
| dc.date.issued | 2015 | eng |
| dc.description.abstract | 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. | eng |
| dc.description.version | published | eng |
| dc.identifier.doi | 10.1007/s10801-014-0577-7 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/52338 | |
| dc.language.iso | eng | eng |
| dc.rights | terms-of-use | |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
| dc.subject | Normal polytope, Very ample polytope, Koszul polytope, Regular unimodular triangulation | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Very ample and Koszul segmental fibrations | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @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}
} | |
| kops.citation.iso690 | BECK, Matthias, Jessica DELGADO, Joseph GUBELADZE, Mateusz MICHALEK, 2015. Very ample and Koszul segmental fibrations. In: Journal of Algebraic Combinatorics. Springer. 2015, 42(1), pp. 165-182. ISSN 0925-9899. eISSN 1572-9192. Available under: doi: 10.1007/s10801-014-0577-7 | deu |
| kops.citation.iso690 | BECK, Matthias, Jessica DELGADO, Joseph GUBELADZE, Mateusz MICHALEK, 2015. Very ample and Koszul segmental fibrations. In: Journal of Algebraic Combinatorics. Springer. 2015, 42(1), pp. 165-182. ISSN 0925-9899. eISSN 1572-9192. Available under: doi: 10.1007/s10801-014-0577-7 | eng |
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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>
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