Hermite normal forms and \(\delta \)-vectors

DOI10.1016/j.jcta.2012.02.005zbMath1242.05012arXiv1009.6023OpenAlexW1989761042MaRDI QIDQ423636

Takayuki Hibi, Akihiro Higashitani, Nan Li

Publication date: 4 June 2012

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.6023

zbMATH Keywords

convex polytopeHermite normal formEhrhart polynomial\(\delta \)-vector

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Other problems of combinatorial convexity (52A37) Polytopes and polyhedra (52B99)

Related Items

Antichain Simplices, Gorenstein simplices and the associated finite abelian groups, Ehrhart series, unimodality, and integrally closed reflexive polytopes, Universal conditions on \(h^*\)-vectors of lattice simplices, The characterisation problem of Ehrhart polynomials of lattice polytopes

Cites Work

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• Ehrhart polynomials of convex polytopes with small volumes
• Shifted symmetric \(\delta \)-vectors of convex polytopes
• On the Hilbert function of a graded Cohen-Macaulay domain
• Polynômes arithmétiques et méthode des polyedres en combinatoire
• A lower bound theorem for Ehrhart polynomials of convex polytopes
• On convex lattice polygons
• Decompositions of Rational Convex Polytopes