Generic and special constructions of pure O -sequences

DOI10.1112/blms/bdu047zbMath1309.05188arXiv1212.3426OpenAlexW3101043159MaRDI QIDQ2922859

Matteo Varbaro, Thomas Kahle, Alexandru Constantinescu

Publication date: 15 October 2014

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3426

zbMATH Keywords

Stanley-Reisner ringsArtinian algebramatroid complexStanley's conjecture

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Combinatorial aspects of matroids and geometric lattices (05B35) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40)

Related Items

Internally perfect matroids ⋮ Biconed graphs, weighted forests, and \(h\)-vectors of matroid complexes ⋮ The \(h\)-vector of a positroid is a pure O-sequence ⋮ On power ideals of transversal matroids and their ``parking functions ⋮ Quasi-matroidal classes of ordered simplicial complexes ⋮ Lexicographic shellability, matroids, and pure order ideals ⋮ Determinantal schemes and pure O-sequences

Uses Software

• CoCoA
• Macaulay2
• SageMath

Cites Work

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• On the shape of a pure 𝑂-sequence

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