Betti numbers of fat forests and their Alexander dual

DOI10.1007/s10801-022-01143-0zbMath1497.13038arXiv2105.12025OpenAlexW3165164509MaRDI QIDQ2084692

Ralf Fröberg

Publication date: 18 October 2022

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12025

zbMATH Keywords

Stanley-Reisner ringHilbert seriesBetti numbersedge ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (1)

Solution to a conjecture on edge rings with 2-linear resolutions

Cites Work

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• Betti diagrams from graphs
• Minimal free resolutions of linear edge ideals
• Chordal and sequentially Cohen-Macaulay clutters
• Linearity defect of edge ideals and Fröberg's theorem
• On rigid circuit graphs
• Specializations of Ferrers ideals
• Squarefree lexsegment ideals
• Resolutions of Stanley-Reisner rings and Alexander duality
• Dirac's theorem on chordal graphs and Alexander duality
• Extremal Betti numbers and applications to monomial ideals
• Linear resolutions of quadratic monomial ideals
• Resolutions of Facet Ideals
• Restricting linear syzygies: algebra and geometry
• Monomial and toric ideals associated to Ferrers graphs
• Monomial ideals whose powers have a linear resolution
• Monomial Ideals
• A Beginner’s Guide to Edge and Cover Ideals

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