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2018 Reverse lexicographic squarefree initial ideals and Gorenstein Fano polytopes
Hidefumi Ohsugi, Takayuki Hibi
J. Commut. Algebra 10(2): 171-186 (2018). DOI: 10.1216/JCA-2018-10-2-171

Abstract

Via the theory of reverse lexicographic squarefree initial ideals of toric ideals, we give a new class of Gorenstein Fano polytopes (reflexive polytopes) arising from a pair of stable set polytopes of perfect graphs.

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Hidefumi Ohsugi. Takayuki Hibi. "Reverse lexicographic squarefree initial ideals and Gorenstein Fano polytopes." J. Commut. Algebra 10 (2) 171 - 186, 2018. https://doi.org/10.1216/JCA-2018-10-2-171

Information

Published: 2018
First available in Project Euclid: 13 August 2018

zbMATH: 06917492
MathSciNet: MR3842333
Digital Object Identifier: 10.1216/JCA-2018-10-2-171

Subjects:
Primary: 13P10
Secondary: 52B20

Keywords: Gorenstein Fano polytope , Gröbner basis , unimodular triangulation

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.10 • No. 2 • 2018
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