Reverse lexicographic squarefree initial ideals and Gorenstein Fano polytopes

DOI10.1216/JCA-2018-10-2-171zbMath1420.13063arXiv1410.4786OpenAlexW321687423WikidataQ129408423 ScholiaQ129408423MaRDI QIDQ1657978

Takayuki Hibi, Hidefumi Ohsugi

Publication date: 14 August 2018

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.4786

zbMATH Keywords

Gröbner basisGorenstein Fano polytopeunimodular triangulation

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items

Reflexive polytopes arising from partially ordered sets and perfect graphs, Enriched chain polytopes, Perfectly contractile graphs and quadratic toric rings, Reflexive polytopes arising from bipartite graphs with \(\gamma\)-positivity associated to interior polynomials, Unconditional reflexive polytopes, Volume, facets and dual polytopes of twinned chain polytopes, Integer decomposition property for Cayley sums of order and stable set polytopes, Reflexive polytopes arising from perfect graphs, Enriched order polytopes and enriched Hibi rings, Quadratic Gröbner bases of twinned order polytopes, The reflexive dimension of (0, 1)-polytopes

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