Non-Gorenstein loci of Ehrhart rings of chain and order polytopes

DOI10.1016/j.jalgebra.2023.12.017arXiv2006.16026MaRDI QIDQ6146422

Janet Page, Mitsuhiro Miyazaki

Publication date: 5 February 2024

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

Full work available at URL: https://arxiv.org/abs/2006.16026

zbMATH Keywords

order polytopeEhrhart ringchain polytopenon-Gorenstein locus

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Combinatorics of partially ordered sets (06A07) Algebraic aspects of posets (06A11) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

• On the generators of the canonical module of a Hibi ring: a criterion of level property and the degrees of generators
• Chain polytopes and algebras with straightening laws
• Two poset polytopes
• Some applications of algebra to combinatorics
• Hilbert functions of graded algebras
• The Frobenius complexity of Hibi rings
• Fiber cones, analytic spreads of the canonical and anticanonical ideals and limit Frobenius complexity of Hibi rings
• The trace of the canonical module
• On the canonical ideal of the Ehrhart ring of the chain polytope of a poset
• Measuring the non-Gorenstein locus of Hibi rings and normal affine semigroup rings
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes

This page was built for publication: Non-Gorenstein loci of Ehrhart rings of chain and order polytopes