Chain polytopes and algebras with straightening laws

DOI10.1007/s40306-015-0115-2zbMath1327.52021arXiv1207.2538OpenAlexW2082515719MaRDI QIDQ746800

Nan Li, Takayuki Hibi

Publication date: 20 October 2015

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.2538

zbMATH Keywords

partially ordered setchain polytopealgebra with straightening laws

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) Logical aspects of lattices and related structures (03G10)

Related Items

Reflexive polytopes arising from partially ordered sets and perfect graphs, From standard monomial theory to semi-toric degenerations via Newton–Okounkov bodies, Enriched chain polytopes, Perfectly contractile graphs and quadratic toric rings, Non-Gorenstein loci of Ehrhart rings of chain and order polytopes, Integer decomposition property for Cayley sums of order and stable set polytopes, Gröbner fans of Hibi ideals, generalized Hibi ideals and flag varieties, Stanley's non-Ehrhart-positive order polytopes, Enriched order polytopes and enriched Hibi rings, The Minkowski property and reflexivity of marked poset polytopes, Marked chain-order polytopes, Order-chain polytopes

Cites Work

• Two poset polytopes
• Toric ideals generalized by quadratic binomials
• Convex polytopes all of whose reverse lexicographic initial ideals are squarefree
• Quadratic initial ideals of root systems
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