On the structure of Stanley--Reisner rings associated to cyclic polytopes

zbMath1267.13041arXiv0912.2152MaRDI QIDQ411706

Stavros Argyrios Papadakis, Janko Böhm

Publication date: 30 April 2012

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2152

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Algebraic combinatorics (05E99) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55)

Related Items (3)

Bouquet algebra of toric ideals ⋮ Tom and Jerry triples with an application to Fano 3-folds ⋮ A smoothness test for higher codimensions

Uses Software

• Macaulay2
• CyclicPolytopeRes

Cites Work

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• Constructing big Gorenstein ideals from small ones
• Über die freien Auflösungen extremaler Cohen-Macaulay-Ringe
• Computation of Betti numbers of monomial ideals associated with cyclic polytopes
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• The Geometry of Syzygies
• Kustin--Miller unprojection with complexes
• Kustin--Miller unprojection with complexes

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