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The \(\delta\)-vectors of reflexive polytopes and of the dual polytopes

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Publication:294533
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DOI10.1016/j.disc.2016.04.011zbMath1355.52012arXiv1411.2122OpenAlexW2953291927MaRDI QIDQ294533

Akiyoshi Tsuchiya

Publication date: 16 June 2016

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2122

zbMATH Keywords

Ehrhart polynomial\(\delta\)-vectorreflexive polytopeunimodularly equivalent


Mathematics Subject Classification ID

Symmetry properties of polytopes (52B15)


Related Items

Self dual reflexive simplices with Eulerian polynomials


Uses Software

  • OEIS


Cites Work

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  • Complete classification of reflexive polyhedra in four dimensions
  • Volume and lattice points of reflexive simplices
  • On the Hilbert function of a graded Cohen-Macaulay domain
  • Dual polytopes of rational convex polytopes
  • A monotonicity property of \(h\)-vectors and \(h^*\)-vectors
  • A lower bound theorem for Ehrhart polynomials of convex polytopes
  • Computing the Continuous Discretely
  • Bounds for Lattice Polytopes Containing a Fixed Number of Interior Points in a Sublattice
  • Decompositions of Rational Convex Polytopes
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