On the Betti Numbers of Shifted Complexes of Stable Simplicial Complexes

DOI10.1142/S1005386706000083zbMath1097.13031arXivmath/0411449MaRDI QIDQ5715634

Guifen Zhuang, Zhongming Tang

Publication date: 4 January 2006

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

Full work available at URL: https://arxiv.org/abs/math/0411449

zbMATH Keywords

Hilbert functionStanley-Reisner idealgeneric idealstable simplicial complex

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Simplicial sets and complexes in algebraic topology (55U10)

Cites Work

• Unnamed Item
• Minimal resolutions of some monomial ideals
• Squarefree lexsegment ideals
• Initial ideals, Veronese subrings, and rates of algebras
• Gotzmann theorems for exterior algebras and combinatorics
• Ideals with stable Betti numbers
• Shifting operations and graded Betti numbers
• Componentwise linear ideals

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